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ÖZGEÇMİŞ
A. KİMLİK BİLGİLERİ Adı ve Soyadı :Mehmet SEZER Doğum Yeri :Dutluca/AKSEKİ Doğum Tarihi :20.03.1954 Yabancı Dili :İngilizce
Uzmanlık Alanı :Uygulamalı Matematik B. ADRESLERİ VE TELEFON NUMARALARI Ev :0(232)3756219 İş :0(236)2013225 Cep :0(536)8802842
C. AKADEMİK UNVANLARI Lisans :Ege Üniversitesi Fen Fakültesi, 1975-76 Yaz dönemi
Yüksek Lisans :Ege Üniversitesi Fen Fakültesi, 30.09.1977. Doktora :Ege Üniversitesi Fen Fakültesi, 16.06.1982 Yard.Doç :Uludağ Üniv.Eğitim Fak.1983+DEÜ Buca Eğitim Fak.1986. Doçent :Dokuz Eylül Üniversitesi, Buca Eğitim Fakültesi, 27.10.1989. Profesör :Dokuz Eylül Üniversitesi, Buca Eğitim Fakültesi,14.03.,1995-2003 Profesör :Muğla Üniversitesi Fen Fakültesi, 15.10. 2004-2012 Profesör :CBU Fen-Edebiyat Fakültesi ,16.10.2012-
Yüksek Lisans Tez Başlığı ve Tez Danışman(lar)ı: Lorentz Dönüşümleri ve Özel Görelilik; Prof.Dr. Süeda MORALI -1977 Doktora Tezi Başlığı ve Danışman(lar)ı: Parabolik Kısmi Diferansiyel Denklemlerle ilgili Cauchy Probleminin Çözümleri Üzerine; Prof. Dr. Süeda MORALI -1982. Yabancı Dil Durumu: Üniversitelerarası Kurul Merkezi Yabancı Dil Sınavı Başarı Belgesi (İngilizce, Kasım 1987).
D. BİLİMSEL ÇALIŞMALARI
D1:Bilimsel Yayınları D1.1: Uluslararası (SCI-expanded, SSCI, AHCI kapsamındaki) dergilerde yayımlanan yayınları
[1] AKYUZ, A., SEZER, M., (1999), A Chebyshev Collocation Method for the Solution of Linear Integro-differential Equations, Intern. J. Computer Math. 72, 4, 491-507.(SCI)
[2] YALÇINBAŞ, S., SEZER, M.,(2000), The Approximate Solution of Hihg-Order Linear
Volterra-Fredholm Integro-differential Equations in Terms of Taylor Polynomials, Applied Mathematics and Computation., 112, 291-308.(SCI)
[3] SEZER, M., KEŞAN, C., (2000), Polynomial Solutions of Certain Differential
Equations, Intern. J. Computer Math. 76, 93-104.(SCI) [4] KARAMETE,A. and SEZER, M.: A Taylor Collocation Method for the solution of
linear integrodifferential equations. İntern.J.Computer Math..79(9),987-1000,2002.(SCI)
[5] AKYÜZ,A and SEZER,M.: Chebyshev polynomial solutions of systems of high-order linear differential equations with variable coefficients; Appl.Math.Comput. 144,(2003),237247.(SCI)
[6] KURT, N. SEZER, M. ÇELİK, A. Solution of Dirichlet Problem for a rectangular region in terms of elliptic functions, Intern. J. Computer Math.,81(11),1417-1426,(2004).(SCI)
[7] SEZER,M, KARAMETE,A. GÜLSU,M.,Taylor Polynomial solutions of systems of
linear differential equations with variable coefficients, Intern. J. Computer Math.82(6) 2005,755764.(SCI)
[8] GÜLSU,M. SEZER,M., A method for the approximate solution of high order linear
difference equation in terms of Taylor polynomials, Intern. J. Computer Math 82(5), 2005, 629-642.(SCI)
[9] M. Gülsu and M. Sezer, The approximate solution of high-order linear difference
equation with variable coefficientsin terms of Taylor polynomials, Appl. Math. Comp.168(2005),76-88.(SCI)
[10] Akyüz-Daşcıoğlu,A.,Sezer,M. Chebyshev polynomial solutions of systems of high
order linear Fredholm-Volterra integrodifferential equations , Journal of The Franklin Institute,342(2005)688-701.(SCI)
[11] M. Sezer and M. Gülsu, A new polynomial approach for solving difference and Fredholm integro-difference equations with mixed argument, Appl. Math. Comp.171(1)(2005),332-344.(SCI)
[12] M. Gülsu and M. Sezer, A Taylor polynomial approach for solving differential-
difference equations, J. Comput. Appl. Math.,186(2006),349-364.(SCI)
[13] GÜLSU, M. SEZER, M. Z.GÜNEY, Approximate solution of general high order linear nonhomogenousdifference equations by means of Taylor collocation method, Appl. Math. Comp.173(2),(2006), 683-693.(SCI)
[14] M.SEZER,A.AKYÜZ-DAŞCIOĞLU,Taylor polynomial solutions of general linear
differential-difference equations with variable coefficients , Appl.Math.Comp.,174(2), (2006),1526-1538.(SCI)
[15] S.YALÇINBAŞ, M. SEZER, A Taylor Collocation Method for the approximate
solution of general linear Fredholm –Volterra integro-difference equations with mixed arguments, Appl.Math.Comp. 175(1),(2006),675-690.(SCI)
[16] M.GÜLSU, M.SEZER, On the solution of Riccati equation by Taylor matrix
method,App.Math.Comp.,176(2),(2006),414-421.(SCI) [17] M.SEZER,M.GÜLSU, Approximate solution of complex differential equations for a
rectengular domain with Taylor collocation method,Appl..Math.Comp.,177(2), (2006),844851.(SCI)
[18] M.SEZER, A.AKYÜZ-DAŞCIOĞLU, A Taylor method for numerical solution of
generalized pantograph equations with linear functional argument, J.Comp.Appl. Math.,200(2007),217-225.(SCI)
[19] N.KURT, M.SEZER, Solution of Dirichlet problem for a triangle region in terms of
elliptic functions, Appl.Math. Comp.182,(2006),73-81.(SCI) [20] M.GÜLSU, M.SEZER, B.TANAY, A matrix method for solving high-order linear
difference equations with mixed argument using hybrid legendre and Taylor polynomials, Journal of The Franklin Institute,343(6),(2006),647-659.(SCI)
[21] M.SEZER, M.GÜLSU, B.TANAY, A Taylor collocation method for the numerical
solution of complex differential equations with mixed conditions in elliptic domains, Appl.Math. Comp.,182,(2006),498-508.(SCI)
[22] M SEZER, M GÜLSU; Polynomial Solution of the most general linear Fredholm-
Volterra integrodifferential-difference equations by means of Taylor collocation method, Appl.Math. Comp.,185,(2007),646-657.(SCI)
[23] M GULSU, M SEZER; Approximate solution to linear complex differntial equation
by a new approximate approach, Appl.Math. Comp.,185,(2007) ,636-645.(SCI)
[24] M GÜLSU, M SEZER; Approximations to the solution of linear Fredholm
integrodifferential-difference equation of high order, Journal of The Franklin Institute,343( 2006),720-737.(SCI)
[25] M GÜLSU, M SEZER; Taylor collocation method for solution of systems of high-order
linear Fredholm-Volterra integro-dfferential equations, Intern. J.Comput.Math., 83(4), (2006), 429-448.(SCI)
[26] M. SEZER, S.YALÇINBAŞ N.ŞAHİN. Approximate Solution of Multi-Pantograph
Equation with Variable Coefficients, Journal of Computational and Applied Mathematics, Volume 214, Issue 2, 1 ( 2008), 406-416.(SCI)
[27] A. Akyüz-Daşcıoğlu, M. Sezer, A Taylor polynomial approach for solving high-order
linear Fredholm integro-differential equations in the most general form, Intern J.Comput.Math. 84 (4)( 2007), 527-539.(SCI)
[28] M. Sezer; S. Yalçinbaş; M. Gülsu, A Taylor polynomial approach for solving
generalized pantograph equations with nonhomogenous term, Intern J.Comput.Math. Vol. 85, No. 7, (2008), 1055–1063.(SCI)
[29] N.Kurt, M.Sezer, Polynomial solution of high-order linear Fredholm integro-differential
equations with constant coefficients, Journal of The Franklin Institute,345 (2008),639850.(SCI)
[30] S Yalçınbaş, M.Sezer, H.H.Sorkun, Legendre Poynomial Solutions of high order
LinearFredholmIntegro-differentialEquations, Appl.Math.Comput., 210(2009) 334-349.(SCI)
[31] B.BÜLBÜL, M.GÜLSU M. SEZER "A New Taylor Collocation Method for Nonlinear
Fredholm-Volterra Integro-Differential Equations".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Cilt: 26, No: 5, Sf: 1006-1020, 2010.(SCI)
[32] M. Sezer, B.Tanay, M. Gülsu, Numerical solution of a class of complex differential
equations by the Taylor collocation method in elliptic domains, Numerical Methods in Partial Differential equations,26(5),(2010),1191-1205.(SCI)
[33] M.GÜLSU, Y.ÖZTÜRK, M.SEZER "A new collocation method for solution of mixed
linear integro-differential-difference equations".APPLIED MATHEMATICS AND COMPUTATION, Cilt: 216, No: 7, Sf: 2183-2198, 2010.(SCI)
[34] M. SEZER, M.GÜLSU "Solving high-order linear differential equations by a Legendre
matrix method based on hybrid Legendre and Taylor polynomials".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Cilt: 26, No: 3, Sf: 647-661, 2010.(SCI)
[35] M.Sezer, S. Yalçınbaş, "A Collocation Method to Solve Higher Order Linear Complex Differential Equations in Rectangular Domains".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Cilt: 26, No: 3, Sf: 596-611, 2010.(SCI)
[36] S.Yalçınbaş, N.Özsoy, M.Sezer "APPROXIMATE SOLUTION OF HIGHER ORDER
LINEAR DIFFERENTIAL EQUATIONS BY MEANS OF A NEW RATIONAL CHEBYSHEV COLLOCATION METHOD".MATHEMATICAL & COMPUTATIONAL APPLICATIONS, Cilt: 15, No: 1, Sf: 45-56, 2010.(SCI)
[37] M.GÜLSU, M. SEZER "A Taylor Collocation Method for Solving High-Order Linear
Pantograph Equations with Linear Functional Argument".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Cilt: 27, No: 6, Sf: 1628-1638, 2011.(SCI)
[38] N.BAYKUŞ, M. SEZER "Solution of High-Order Linear Fredholm Integro-Differential
Equations with Piecewise Intervals".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Cilt: 27, No: 5, Sf: 1327-1339, 2011.(SCI)
[39] N.AKGÖNÜL, N.ŞAHİN,M.SEZER "A Hermite Collocation Method for the
Approximate Solutions of High-Order Linear Fredholm Integro-Differential Equations".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Cilt: 27, No: 6, Sf: 1707-1721, 2011.(SCI)
[40] M.GÜLSU, Y.ÖZTÜRK,M. SEZER "On the solution of the Abel equation of the second
kind by the shifted Chebyshev polynomials".APPLIED MATHEMATICS AND COMPUTATION, Cilt: 217, No: 9, Sf: 4827-4833, 2011.(SCI)
[41] O.R.IŞIK, M. SEZER, Z.GÜNEY "Bernstein series solution of a class of linear
integrodifferential equations with weakly singular kernel".APPLIED MATHEMATICS AND COMPUTATION, Cilt: 217, No: 16, Sf: 7009-7020, 2011.(SCI)
[42] M.GÜLSU, B.GÜRBÜZ,Y.ÖZTÜRK,M. SEZER "Laguerre polynomial approach for
solving linear delay difference equations".APPLIED MATHEMATICS AND COMPUTATION, Cilt: 217, No: 15, Sf: 6765-6776, 2011.(SCI)
[43] B.Gürbüz,M.Gülsu, M.Sezer,Numerical Approach of high-order linear delay difference
equations with variable iğn terms of Laguerre polynomials. MATHEMATICAL & COMPUTATIONAL APPLICATIONS, Cilt: 16, No: 1, pp: 267-278, 2011.(SCI)
[44] Ş.YÜZBAŞI, N.ŞAHİN, M. SEZER "Bessel polynomial solutions of high-order linear
Volterra integro-differential equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS, Cilt: 62, No: 4, Sf: 1940-1956, 2011.(SCI)
[45] S.YALÇINBAŞ, M.AYNİGÜL, M. SEZER "A collocation method using Hermite
polynomials for approximate solution of pantograph equations".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, Cilt: 348, No: 6, Sf: 1128-1139, 2011.(SCI)
[46] B.BÜLBÜL, M. SEZER "A Taylor matrix method for the solution of a two-dimensional
linear hyperbolic equation".APPLIED MATHEMATICS LETTERS, Cilt: 24, No: 10, Sf: 1716-1720, 2011.(SCI)
[47] O.R.IŞIK, M. SEZER, Z.GÜNEY "A rational approximation based on Bernstein
polynomials for high order initial and boundary values problems".APPLIED MATHEMATICS AND COMPUTATION, Cilt: 217, No: 22, Sf: 9438-9450, 2011.(SCI)
[48] Ş.YÜZBAŞI, N.ŞAHİN, M. SEZER "Numerical solutions of systems of linear
Fredholm integro-differential equations with Bessel polynomial bases".COMPUTERS & MATHEMATICS WITH APPLICATIONS, Cilt: 61, No: 10, Sf: 3079-3096, 2011.(SCI)
[49] M.GÜLSU, M. SEZER "A collocation approach for the numerical solution of certain
linear retarded and advanced integrodifferential equations with linear functional arguments".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Cilt: 27, No: 2, Sf: 447-459, 2011.(SCI)
[50] B.BÜLBÜL, M.SEZER, Taylor polynomial solution of hyperbolic type partial
differential equations with constant coefficients, International Journal of Computer Mathematics,Vol. 88, No. 3, February 2011, 533–544.(SCI)
[51] M.GÜLSU, Y.ÖZTÜRK, M. SEZER "A new Chebyshev polynomial approximation for
solving delay differential equations".JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, Cilt: 18, No: 6, Sf: 1043-1065, 2012.(SCI)
[52] Ş.YÜZBAŞI, N.ŞAHİN, M. SEZER " A Bessel collocation method for numerical
solution of generalized pantograph equations".NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, Cilt: 28, No: 4, Sf: 1105-1123, 2012.(SCI)
[53] Ş.YÜZBAŞI, N.ŞAHİN, M. SEZER "A collocation approach for solving linear complex differential equations in rectangular domains".MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Cilt: 35, No: 10, Sf: 1126-1139, 2012.(SCI)
[54] Ş.YÜZBAŞI, M. SEZER "A numerical method to solve a class of linear integro differential equations with weakly singular kernel".MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Cilt: 35, No: 6, Sf: 621-632, 2012.(SCI)
[55] O.R.IŞIK, Z.GÜNEY, M. SEZER "Bernstein series solutions of pantograph equations
using polynomial interpolation".JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, Cilt: 18, No: 3, Sf: 357-374, 2012.(SCI)
[56] Ş.YÜZBAŞI, N.ŞAHİN, M.SEZER "A collocation approach to solving the model of
pollution for a system of lakes".MATHEMATICAL AND COMPUTER MODELLING, Cilt: 55, No: 3-4, Sf: 330-341, 2012.(SCI)
[57] Ş.YÜZBAŞI, M.SEZER, B.KEMANCI, Numerical solutions of integro-differential
equations and application of a population model with an improved Legendre method, Applied Mathematical Modelling, Volume 37, Issue 4, 15 February 2013, Pages 2086–2101.(SCI)
[58] M.SEZER, M.GÜLSU, B.TANAY, Rational Chebyshev Collocation Method for Solving
Higher-Order Linear OrdinaryDifferential Equations, Numer Methods Partial Differential Eq 27: 1130–1142, 2011. .(SCI)
[59] A.AKYÜZ-DAŞCIOĞLU, M. SEZER "A Taylor polynomial approach for solving the
most general linear Fredholm integro-differential-difference equations".MATHEMATICAL METHODS IN THE APPLIED SCIENCES, Cilt: 35, No: 7, Sf: 839-844, 2012.(SCI)
[60] Ş.YÜZBAŞI, M.SEZER, An exponentialmatrix method for solving systems of linear
differential equations, Math. Meth. Appl. Sci., Mathematical Methods in the Applied Sciences 36(3):336-348 · February 2013 (SCI).
[61] Bahşi, M.M. , Çevik, M., Sezer, M., Orthoexponential polynomial solutions of delay
pantograph differential equations with residual error estimation, Applied Mathematics and Computation, vol. 271, pp. 11–21, 2015. (SCI).
[62] Gokmen, E. , Isik, O.R., Sezer, M. , Taylor collocation approach for delayed Lotka-Volterra predator-prey system, Applied Mathematics and Computation, vol. 268, pp. 671– 684, 2015. (SCI).
[63] Bülbül, B. , Sezer, M.,A numerical approach for solving generalized Abel-type nonlinear differential equations, Applied Mathematics and Computation, vol. 262, pp. 169–177, 2015.(SCI)
[64] Oğuz, C. , Sezer, M. Chelyshkov collocation method for a class of mixed functional integro-differential equations, Applied Mathematics and Computation, vol. 259, pp. 943–954, 2015. (SCI)
[65] Yuksel, G. , Isik, O.R., Sezer, M., Error analysis of the Chebyshev collocation method for linear second-order partial differential equations, International Journal of Computer Mathematics, vol. 92, no. 10, pp. 2121–2138, 2015.(SCI)
[66] Yüzbaşi, Ş., Sezer, M., Shifted Legendre approximation with the residual correction to solve pantograph-delay type differential equations, Applied Mathematical Modelling, vol. 39, no. 21, pp. 6529–6542, 2015.(SCI)
[67] Çetin, M. , Sezer, M. , Güler, C., Lucas polynomial approach for system of high-order linear differential equations and residual error estimation, Mathematical Problems in Engineering, vol. 2015, pp. 1-14, 2015. Article number 625984.(SCI)
[68] Çevik, M. , Mustafa Bahşi, M. , Sezer, M.,Solution of the delayed single degree of freedom system equation by exponential matrix method, Applied Mathematics and Computation, vol. 242, pp. 444–453, 2014.(SCI)
[69] Gürbüz, B. , Sezer, M.,Laguerre polynomial approach for solving Lane-Emden type functional differential equations, Applied Mathematics and Computation, vol. 242, pp. 255–264, 2014.(SCI)
[70] Isik, O.R. Sezer, M., Guney, Z.,Bernstein series solution of linear second-order partial differential equations with mixed conditions, Mathematical Methods in the Applied Sciences, vol. 37, no. 5, pp. 609–619, 2014.(SCI)
[71] Yüzbaşi, S., Gök, E.,Sezer, M.,Laguerre matrix method with the residual error estimation for solutions of a class of delay differential equations, Mathematical Methods in the Applied Sciences, vol. 37, no. 4, pp. 453–463, 2014.(SCI)
[72] Gürbüz, B. , Sezer, M. , Güler, C., Laguerre collocation method for solving fredholm integro-differential equations with functional arguments, Journal of Applied Mathematics, vol. 2014, 2014. Article number 682398.(SCI)
[73] Yüzbaşi, Ş. , Sezer, M., An exponential approximation for solutions of generalized pantograph-delay differential equations, Applied Mathematical Modelling, vol. 37, no. 22, pp. 9160–9173, 2013.(SCI)
[74] Erdem, K. , Yalçinbaş, S. ,Sezer, M., A Bernoulli polynomial approach with residual correction for solving mixed linear Fredholm integro-differential-difference equations, Journal of Difference Equations and Applications, vol. 19, no. 10, pp. 1619–1631, 2013.(SCI)
[75] Öztürk, Y. , Anapalı, A., Gülsu, M. , Sezer, M., A collocation method for solving fractional riccati differential equation, Journal of Applied Mathematics, vol. 2013, 2013. Article number 598083.(SCI)
[76] Yüzbaşi, Ş., Sezer, M., Exponential collocation method for solutions of singularly perturbed delay differential equations, Abstract and Applied Analysis, vol. 2013, 2013, Article number 493204.(SCI)
[77] Bülbül, B. , Sezer, M., Numerical solution of duffing equation by using an improved taylor matrix method, Journal of Applied Mathematics, vol. 2013, 2013, Article number 691614.(SCI)
[78] Bülbül, B. , Sezer, M., A new approach to numerical solution of nonlinear Klein-Gordon equation, Mathematical Problems in Engineering, vol. 2013, 2013, Article number 869749. (SCI)
[79] Yüzbaşı Ş, Sezer M, An improved Bessel collocation method with a residual error
function to solve a class of Lane Emden differential equations, Mathematical and Computer Modelling, 57(5-6)(2013) 1298-1311.(SCI)
[80] Gürbüz B, Sezer M, Laguerre polynomial approach for solving Lane Emden type functional differential equations, Applied Mathematics and Computation, 242(2014) 255-264.(SCI)
[81] Gökmen E, Işık Osman R, Sezer M, Taylor collocation approach for delayed Lotka
Volterra predator prey system, Applied Mathematics and Computation, 268(2015) 671-684.(SCI)
[82] Balcı,M.A.,Sezer,M., Hybrid Euler Taylor matrix method for solving of generalized linear Fredholm integro differential difference equations, Applied Mathematics and Computation, 273(2016) 33-41.(SCI)
[83] Yüzbaşı Ş, Sezer M, An exponential approach for the system of nonlinear delay integro differential equations describing biological species living together, Neural Computing and Applications, 27(3)(2016) 769-779.(SCI)
[84] Gürbüz B, Sezer M, Laguerre Polynomial Solutions of a Class of Initial and Boundary
Value Problems Arising in Science and Engineering Fields, Acta Physica Polonica A, 130(1)(2016) 194-197.(SCI)
[85] Kürkçü Ö K, Aslan E, Sezer M, A numerical approach with error estimation to solve
general integro differential difference equations using Dickson polynomials, Applied Mathematics and Computation, 276(2016) 324-339.(SCI)
[86] Gökmen E, Yüksel G, Sezer M, A numerical approach for solving Volterra type
functional integral equations with variable bounds and mixed delays, Journal of Computatıonal and Applıed Mathematıcs, 311(2017) 354-363.(SCI)
[87] Kürkçü Ö K, Aslan E, Sezer M, A Novel Collocation Method Based on Residual Error
Analysis for Solving Integro Differential Equations Using Hybrid Dickson and Taylor Polynomials, Sains Malaysiana, 46(02)(2017) 335-347.(SCI)
[88] Kürkçü Ö K, Aslan E, Sezer M, A numerical method for solving some model problems
arising in science and convergence analysis based on residual function 121(2017) 134-148.(SCI)
[89] Gürbüz B, Sezer M, A New Computational Method Based on Laguerre polynomials for
Solving Certain Nonlinear Partial Integro Differential Equations, 132(3)(2017) 561-563.(SCI)
[90] Kürkçü Ö K, Aslan E, Sezer M, İlhan Ö, A Numerical Approach Technique for Solving
Generalized Delay Integro-Differential Equations with Functional Bounds by Means of Dickson Polynomials, International Journal of Computational Methods, 15(5)(2018), 1850039-(1-24).(SCI)
[91] Gürbüz B, Sezer M, Modified Laguerre collocation method for solving 1‐dimensional parabolic convection‐diffusion problems, Mathematical Methods in the Applied Sciences, 41(18)(2018), 8481-8487.(SCI)
[92] Gökmen E, Gürbüz B, Sezer M, A numerical technique for solving functional integro-
differential equations having variable bounds, Computational and Applied Mathematics, 37(5)(2018), 5609-5623.(SCI)
[93] Gürbüz B., Sezer M., “A new computational method based on Laguerre polynomials
for solving certain nonlinear partial integro differential equations”, Acta Physica Polonica A (Acta Phys Pol, A), 132(3) 561-563, 2017. .(SCI)
[94] Gürbüz B., Sezer M., “Laguerre polynomial solutions of a class of delay partial
functional differential equations”, Acta Physica Polonica A (Acta Phys Pol, A), 132(3) 558-560, 2017. DOI: 10.12693/APhysPolA.132.558. .(SCI)
[95] Kürkçü, Ö. K., Aslan, E., Sezer, M. An inventive numerical method for solving the
most general form of integro-differential equations with functional delays and characteristic behavior of orthoexponential residual function. Computational and Applied Mathematics. 2019, 38(2), DOI:10.1007/s40314-019-0771-2. .(SCI)
[96] Kürkçü, Ö. K., Aslan, E., Sezer, M. A novel graph-operational matrix method for
solving multidelay fractional differential equations with variable coefficients and a numerical comparative survey of fractional derivative types. Turkish Journal of Mathematics. 2019, 43(1), 373-392. .(SCI)
[97] Biçer,K.E., Sezer,M., A COMPUTATIONAL ETHOD FOR SOLVING
DIFFERENTIAL EQUATIONS WITH QUADRATIC NON-LINEARITY BY USING BERNOULLI POLYNOMIALS, Thermal Science . 2019 Supplement, Vol. 23, pS275-S283. 9p. .(SCI)
[98] GULER,C., KAYA, S.Ö., SEZER, M., Numerıcal Solutıons of a Class of Non-Lınear
Ordınary Dıfferentıal Equatıons ... THERMAL SCIENCE: Year 2019, Vol. 23, Suppl. 1, pp. S339-S351. .(SCI)
[99] Kürkçü, Ö. K., Aslan, E., Sezer, M. An integrated numerical method with error analysis
for solving fractional differential equations of quintic nonlinear type arising in applied sciences. Mathematical Methods in the Applied Sciences. 2019, DOI: 10.1002/mma.5708. (Yayın aşamasında).(SCI)
[100] Kürkçü, Ö. K., Aslan, E., Sezer, M. An advanced method with convergence analysis for solving space-time fractional partial differential equations with multi delays. Eur. Phys. J. Plus (2019) 134: 393 DOI 10.1140/epjp/i2019-12761-4.(SCI)
[101] Gümgüm, S., Baykuş Savaşaneril, N., Kürkçü, Ö. K., Sezer, M. Lucas Polynomial
solution of Nonlinear Differential Equations with Variable Delay. Hacettepe Journal of Mathematics and Statistics, 2019, DOI:10.15672/hujms.460975. (Yayın aşamasında). (SCI)
D1.2 : Uluslararası hakemli dergilerdeki yayınları:
[1] SEZER, M., (1994), Taylor Polynomial Solutions of Volterra Integral Equations,
INT.J.MATH.EDUC.SCI.TECHNOL., 25,5, 625-633. [2] SEZER, M., DOĞAN, S., (1996), Chebyshev Series Solutions of Fredholm Integral
Equations, Int.J.Math.Educ.Sci. Technol.,27, 5, 649-657. [3] SEZER, M., KAYNAK, M., (1996), Chebyshev Polynomial Solutions of Linear
Differential Equations, Int.J. Math.Educ. Sci. Technol. 27, 4,607-618. [4] SEZER, M., (1996), A Method for the Approximate solution of the Second Order Linear
Differential Equations in terms of Taylor Polynomials, Int. J. Math. Educ. Sci. Technol.27, 6, 821-834
[5] NAS,Ş., YALÇINBAŞ,S.,SEZER,M., (2000), A Taylor Polynomial Approach for
Solving High-Order Linear Fredholm Integro-Differential Equations, , Int. J. Math. Educ. Sci. Technol. 31, 2, 213-225
[6] SEZER,M. GULSU,M.,Polynomial solution of the most general linear Fredholm
integrodifferential-difference equations by means of Taylor matrix method, Complex Variables,, 50(5),2005, 367-382
[7] M.SEZER, M.GÜLSU,Polynomial approach for the most general linear Fredholm
integrodifferential-difference equations using Taylor Matris method,İntern J. Math.Math.Sciences,vol.2006,article ID.46376,pp.1-15.
[8] Ş.YÜZBAŞI, N.ŞAHİN, M.SEZER; A Bessel polynomial approach for solving linear
neutral delay differential equations with variable coefficients, Journal of Advanced Research in Differential Equations, Vol. 3, Issue. 1, 2011, pp. 81-101
[9] Ş.YÜZBAŞI, M.SEZER; A collocation approach to solve a class of Lane-Emden type
equations, Journal of Advanced Research in Applied Mathematics, Vol. 3, Issue.2, 2011, pp. 58-73.
[10] G. YÜKSEL, M. SEZER, A Chebyshev Approximate Method for Solving Pantograph
Equations, Journal of Advanced Research in Differential Equations, 3 (4) , 14-29, (2011).
[11] G.YÜKSEL, M.GÜLSU, M. SEZER, Chebyshev polynomial solutions of a class of second-order nonlinear ordinary differential equations, Journal of Advanced Research in Scientific Computing, 3 (4), 11-24, (2011).
[12] G.YÜKSEL, Ş. YÜZBAŞI, M. SEZER, A Chebyshev method for a class of high- order
linear Fredholm integro-differential equations, Journal of Advanced Research in Applied Mathematics, 4(1) 2012, 49-67.
[13] E.GÖKMEN, M.SEZER, Taylor collocation method for systems of high-order linear differential-difference equations with variable coefficients, Ain Shams Engineering Journal,DOI: 10.1016/j.asej.2012.07.05, 2012.
[14] Ş.YÜZBAŞI, N.ŞAHİN, M.SEZER, A numerical approach for solving linear differential
equation systems, Journal of Advanced Research in Differential Equations, Vol. 3, Issue. 3, 2011, pp. 8-32.
[15] Ş.YÜZBAŞI, N.ŞAHİN, M.SEZER, Bessel collocation method for solving high-order
linear Fredholm integro-differential-difference equations, Journal of Advanced Research in Differential Equations, Vol. 3, Issue. 2, 2011, pp. 1-23.
[16] Ş.YÜZBAŞI, N.ŞAHİN, M.SEZER, Bessel matrix method for solving high-order linear
Fredholm integro-differential equations, Journal of Advanced Research in Applied Mathematics, Vol. 3, Issue. 2, 2011, pp. 23-47.
[17] Aysegul Akyuz-Dascioglu and Mehmet Sezer, Bernoulli collocation method for order
generalized pantograph equations, New Trends in Mathematical Sciences, NTMSCI 3, No. 2, 96-109 (2015)
[18] Ayse Kurt Bahsi, Niyazi Sahin, Mehmet Sezer, A numerical algorithm with residual error
estimation for solution of high-order Pantograph-type functional differential equations using Fibonacci polynomials, New Trends in Mathematical Sciences, NTMSCI 3, No. 3, 90102 (2015).
[19] Mehmet Ali Balci and Mehmet Sezer, A Numerical approach based on exponential
polinomials for solving of Fredholm Integro-Differential-Difference equations, New Trends in Mathematical Sciences, NTMSCI 3, No. 2, 44-54 (2015).
[20] Betul Yetiskin Ates, Muhammed Çetin and Mehmet Sezer, Taylor polynomial approach
for systems of linear differential equations in normal form and residual error estimation, New Trends in Mathematical Sciences, NTMSCI 3, No. 3, 103-115 (2015).
[21] Berna Bulbul Aslan, Burcu Gurbuz and Mehmet Sezer, A new collocation method for
solution of mixed linear Integro-differential difference equations, New Trends in athematical Sciences, NTMSCI 3, No. 2, 133-146 (2015).
[22] Berna Bulbul Aslan, Burcu Gurbuz and Mehmet Sezer., A Taylor matrix-collocation
method based on residual error for solving Lane-Emden type differential equations, New Trends in Mathematical Sciences, NTMSCI 3, No. 2, 219-224 (2015).
[23] Cem Oguz, Mehmet Sezer and Arzu Denk Oguz, Chelyshkov collocation approach to
solve the systems of linear functional differential equations, New Trends in athematical Sciences, NTMSCI 3, No. 4, 83-97 (2015).
[24] Elçin Gökmen and Mehmet Sezer, Approximate solution of a model describing
biological species living together by Taylor collocation method, New Trends in athematical Sciences, NTMSCI 3, No. 2, 147-158 (2015).
[25] Suayip Yuzbasi, Emrah Gok and Mehmet Sezer, Residual correction of the Hermite
polynomial solutions of the generalized pantograph equations, New Trends in athematical Sciences, NTMSCI 3, No. 2, 118-125 (2015).
[26] Salih Yalcinbas, Huseyin Hilmi Sorkun and Mehmet Sezer, A numerical method for
solutions of pantograph type differential equations with variable coefficients using Bernstein polynomials, New Trends in athematical Sciences, NTMSCI 3, No. 4, 179-195 (2015).
[27] Muhammed Çetin, Mehmet Sezer and Hüseyin Kocayigit, Determination of the curves
of constant breadth according to Bishop Frame in Euclidean 3-space, New Trends in athematical Sciences, NTMSCI 3, No. 3, 18-34 (2015).
[28] Nebiye Korkmaz and Mehmet Sezer, An approach to numerical solutions of system of
high-order linear differential-difference equations with variable coefficients and error estimation based on residual function, New Trends in athematical Sciences, NTMSCI 2, No. 3, 220-233 (2014).
[29] Osman Rasit Işik, Zekeriya Guney and Mehmet Sezer, A multivariate rational
interpolation with no poles in Rm, New Trends in athematical Sciences, NTMSCI 3, No. 1, 19-28 (2015).
[30] Çetin, M. , Sezer, M., Kocayiğit, H.,An efficient method based on lucas polynomials for
solving high-order linear boundary value problems, Gazi University Journal of Science, vol. 28, no. 3, pp. 483–496, 2015.
[31] Yuksel, G. , Sezer, M., A Chebyshev series approximation for linear second- order partial
differential equations with complicated conditions, Gazi University Journal of Science, vol. 26, no. 4, pp. 515–525, 2013.
[32] Kurt, A. , Yalçinbaş, S. , Sezer, M., Fibonacci collocation method for solving high-order
linear fredholm integro-differential-difference equations, International Journal of Mathematics and Mathematical Sciences, vol. 2013, 2013, Pages 448-458.
[33] Muhammed ÇETİN, Hüseyin KOCAYİĞİT, Mehmet SEZER, “On the Solution of
differential Equation System Characterizing Curve Pair of Constant Breadth by the Lucas Collocation Approximation”, New Trends in Mathematical Sciences, (Baskıda)
[34] Taştekin, D. ,Yalçinbaş, S. , Sezer, M., Taylor collocation method for solving a class of
the first order nonlinear differential equations, Mathematical and Computational Applications, vol. 18, no. 3, pp. 383–391, 2013. Pages 383-391.
[35] KURT, A., YALÇINBAŞ, S., SEZER, M., (2013), “Fibonacci collocation method for
solving linear differential-difference equations”, Mathematical & Computational Applications, vol:18, no: 3, s:448-458.
[36] KURT, A., YALÇINBAŞ, S., SEZER, M., (2015), “Fibonacci Collocation Method with a Residual Error Function to solve Linear Volterra Integro-differential-difference equations”, New Trends in Mathematical Sciences, in press.
[37] Yüzbaşi Ş., Gök E., Sezer M., " Müntz-Legendre Polynomial Solutions Of Linear Delay
Fredholm Integro-Differential Equations And Residual Corrections", Mathematical & Computational Applications, vol.18, pp.476 - 485, 2013
[38] Yüzbaşi Ş., Gök E., Sezer M., "Müntz-Legendre Matrix Method To Solve The Delay
Fredholm Integro-Differential Equations With Constant Coefficients", New Trends in Mathematical Sciences, vol.3, pp.159-167, 2015.
[39] Çetin M, Kocayiğit H, Sezer M, On the solution of differential equation system
characterizing curve pair of constant breadth by the Lucas collocation approximation, New Trends in Mathematical Science, 4(1), 168-183, (2016).
[40] Yüzbaşı Ş, Gök E,Sezer M, A numerical method for solving systems of higher order linear
functional differential equations, Open Physics, 14(1), 15-25, (2016). [41] Bahşı M M, Bahşı Kurt A, Çevik M, Sezer M, Improved Jacobi matrix method for the
numerical solution of Fredholm integro differential difference equations, Mathematical Sciences, 10(3), 83-93, (2016).
[42] Baykuş Savaşaneril N, Sezer M, Laguerre polynomial solution of high-order linear
Fredholm integro differential equations, New Trends in Mathematical Science, 4(2), 273-284, (2016).
[43] Şahiner B, Sezer M, Determining constant breadth curve mate of a curve ona surface via
Taylor collocation method, New Trends in Mathematical Sciences, 6(3)(2018), 103-115. [44] Çetin M, Gürbüz B, Sezer M, Lucas Collocatıon Method For System Of Hıgh-Order
Linear Functıonal Dıfferentıal Equatıons, Journal of Science and Arts, 4(45),(2018), 891-910.
[45] Ağırman Aydın T, Sezer M, Differential equations characterizing space curves of
constant breadth and their solutions, New Trends in Mathematical Sciences, 6(1)(2018), 200-211.
[46] Ağırman Aydın T, Sezer M, Kocayiğit H, An approximate solution of equations
characterizing space like curves of constant breadth in minkowski 3-space, New Trends in Mathematical Sciences, 4(6)(2018), 182-195.
[47] Yıldızhan İ, Kürkçü Ö K, Sezer M, A Numerıcal Approachfor Solvıng Pantograph–Type
Functıonal Dıfferentıal Equatıons wıth Mıxed Delays Usıng Dıckson Polynomıals of The Second Kınd, Journal of Science and Arts, 18(3)(2018), 667-680.
[48] Bahşı M M, Çevik M, Sezer M, Jacobi polynomial solutions of Volterra integro-differential equations with weakly singular kernel, New Trends in Mathematical Sciences, 6(3)(2018), 24-38.
[49] Ağırman Aydın T, Sezer M, Hermite polynomial approach to determine spherical curves
in Euclidean 3-space, New Trends in Mathematical Sciences, 3(6)(2018), 189-199. [50] Ağırman Aydın T, Sezer M, Kocayiğit H, Bernsteinn polynomials approach to determine
timelike curves of constant breadth in Minkowski 3-space, Communication in Mathematical Modeling and Applications, 3(2)(2018), 9-22.
[51] Çetin M, Kocayiğit H, Sezer M, Lucas collocation method to determination spherical
curves in euclidean 3-space, Communication in Mathematical Modeling and Applications, 3(3)(2018), 44-58. Özel M, Tarakçı M, Sezer M, A numerical approach for a nonhomogeneous differential equation with variable delays, Mathematical Sciences, 12(2)(2018), 145-155.
[52] Gürbüz B., Sezer M., “An hybrid numerical algorithm with error estimation for a class of
functional integro-differential equations”, Gazi University Journal of Science (GUJS), 29(2) 419-434, 2016.
[53] Gürbüz B., Sezer M., "Laguerre polynomial approach for solving nonlinear Klein-Gordon
equations", Malaysian Journal of Mathematical Sciences (MJMS), 11(2) 191-203, 2017. DOI: http://einspem.upm.edu.my/journal/fullpaper/vol112/5.pdf
[54] Gürbüz B., Sezer M., “Numerical solutions of one-dimensional parabolic convection-
diffusion problems arising in biology by the Laguerre collocation method”, BIOMATH, 6(1) 1-5 1706047, 2017. DOI: http://dx.doi.org/10.11145/j.biomath.2017.06.047
[55] Gürbüz B., Sezer M., “A numerical solution of parabolic-type Volterra partial integro-
differential equations by Laguerre collocation method”, International Journal of Applied Physics and Mathematics (IJAPM), 7(1) 49-58, 2017. DOI:10.17706/ijapm.2017.7.1.49-58.
[56] Türkyılmaz B., Gürbüz B., Sezer M, “Morgan-Voyce polynomial approach for solution
of high-order linear differential-difference equations with residual error estimation”, Düzce University Journal of Science & Technology, 4 (2016) 252-263, 2016.
[57] Dönmez Demir, D., Çınardalı, T., Kürkçü, Ö. K., Sezer, M. The Legendre Matrix-
Collocation Approach for Some Nonlinear Differential Equations Arising in Physics and Mechanics. European Journal of Science and Technology. 2019, 15, 289-296.
[58] Gümgüm, S., Baykuş Savaşaneril, N., Kürkçü, Ö. K., Sezer, M. A numerical technique
based on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points for solving functional integro-differential equations involving variable delays. Sakarya University Journal of Science, 2018, 22(6), 1659-1668.
[59] Özel, M., Kürkçü, Ö. K., Sezer, M. Morgan-Voyce matrix method for generalized
functional integro-differential equations of Volterra-type. Journal of Science and Arts. 2019, 2(47), 295-310.
[60] Kürkçü, Ö. K., Aslan, E., Sezer, M. A novel hybrid method for solving combined
functional neutral differential equations with several delays and investigation of convergence rate via residual function. Computational Methods for Differential Equations. 2019, 7(3), 396-417.
[61] Baykuş Savaşaneril, N., Sezer, M. Laguerre polynomial solution of high- order linear
Fredholm integro-differential equations New Trends in Mathematical Sciences 4, No. 2, 273-284 (2016).
[62] Baykuş Savaşaneril, N., Sezer, M. Hybrid Taylor-Lucas Collocation Method for
Numerical Solution of High-Order Pantograph Type Delay Differential Equations with Variables Delays. Appl. Math. Inf. Sci. 11, No. 6, 1795-1801 (2017).
D1.3 : Uluslararası bilimsel toplantılarda sunulan bildiriler
[1] Nurcan Kurt, Mehmet SEZER,"Yüksek Mertebeden Parçalı Aralıklı Fredholm Integro-Diferansiyel Denklemlerin Çözümü",2. Türk Dünyası matematik Sempozyumu, Sakarya, Temmuz 2007, serbest bildiri, Uluslararası Hakemli organizasyon.
[2] Nurcan KURT, Mehmet SEZER,"Yüksek Mertebeden Sabit Katsayılı Fredholm
İntegro-Diferansiyel Denklemlerin Çözümü",II.Ankara Matematik Günleri Sempozyumu, Ankara, Haziran 2007, serbest bildiri, Hakemli organizasyon.
[3] Kurt N, Sezer M,"Laguerre Polynmial Solution of High-Order Linear Fredholm Integro-
Differential Equations",IX. Dinamik Sistemler Çalıştayı, Balçova, Haziran 2009, serbest bildiri, Hakemli organizasyon.
[4] B.Bulbul, M.Sezer“Taylor Polynomıal Solution of Hyperbolic Type Partial Differential Equation With Variable Coefficients, 2nd internatıonal symposium on computing in science and engineering, , (ISCSE 2011), Gediz Üniversitesi, İzmir, Turkey, 1-4 June 2011.
[5] K. ERDEM, S. YALÇINBAŞ, M. SEZER, , ‘‘A new Collocation Method for Solution
of Linear Fredholm Integrodifferential-Difference Equations using Bernoulli Polynomials’’, International Conference on Applied Analysis and Algebra (ICAAA), Yıldız Technical University, 29 Haziran - 2 Temmuz 2011, İstanbul s:192.
[6] Ö. İLHAN, N. ŞAHİN, M. SEZER “On Morgan- Voyce Polynomials Approximation
For Linear Fredholm-Integro Differential Equations” , , 2nd International Symposium on Computing in Science and Engineering, (ISCSE 2011), Gediz Üniversitesi, İzmir, Turkey, 14 June 2011.
[7] T.AKKAYA, S.YALÇINBAŞ, M.SEZER,A Matrix Method for Approximate Solution
of Pantograph Equations in terms of Boubaker Polynomials, 2nd International
Symposium on Computing in Science and Engineering, (ISCSE 2011), Gediz Üniversitesi, İzmir, Turkey, 14 June 2011.
[8] Çevik M, Baykuş N, Sezer M,"Numerical Solution of the Single Degree of Freedom System by a Practical Collocation Method Based on the Chebyshev Polynomials",Computing in Science and Engineering, Kuşadası, Haziran 2011, serbest bildiri, Uluslararası Hakemli organizasyon.
[9] Baykuş Nurcan, Çevik Mehmet, Sezer Mehmet,"Laguerre Polynomial Solution of Fredholm Integro-Differential Equations by a Practical Matrix Method",International Conference on Applied Analysis and Algebra, İstanbul, Haziran 2011, serbest bildiri, Uluslararası Hakemli organizasyon.
[10] T.AYDIN, M.SEZER, Differential Equations Characterizing Space Curves Of Constant
Breadth and Solitions, X. Geometri Sempozyumu, 13-16 Haziran 2012, Balıkesir. [11] Ş. Yüzbaşı, E. Gök, M. Sezer, ‘‘Laguerre series solutions of a class of delay differential
equations with the residual error estimation ’’, International Conference on Applied Analysis and Algebra (ICAAA 2012), Yıldız Technical University, 20-24 June 2012, İstanbul, Turkey.
[12] E. Gök, Ş. Yüzbaşı, M. Sezer, ‘‘Residual correction of the Hermite polynomial solutions
of the generalized pantograph equations ’’, The 2nd International Conference on Computation for Science and Technology, Niğde University, 09-11 July 2012, Niğde, Turkey.
[13] Ş. Yüzbaşı, N. Şahin, M. Sezer, ‘‘A Shifted Legendre approach with residual error
estimation for delay linear Fredholm integro-differential equations’’, The 2nd International Conference on Computation for Science and Technology, Niğde University, 09-11 July 2012, Niğde, Turkey.
[14] Cem Oğuz & Mehmet Sezer, On the solutions of a system of linear delay Fredholm–
Volterra integro-differential equations by the Chelyshkov collocation approximation, International Conference on Advancements in Mathematical Sciences ”AMS 2015”,November 5-7, Antalya.
[15] Gürbüz B., Sezer M., “A numerical approach for solving Volterra-Integro functional
differential equations”, Karatekin Mathematics Days 2014 International Mathematics Symposium Proceeding Book, pp.131, 2014.
[16] Gürbüz B., Sezer M., “A Numerical Approach for solving Fredholm-Integro Differential
Difference Equations”, 2nd International Eurasian Conference on Mathematical Sciences and Applications Proceeding Book, pp.144, 2013.
[17] Gürbüz B., Sezer M., “Numerical Solutions of One-Dimensional Parabolic
ConvectionDiffusion Problems by the Laguerre Collocation Method” The Abstract Book of the conference AMS 2015, pp.116, 2015.
[18] Gürbüz B., Sezer M., “Laguerre polynomial solutions of a class of initial and boundary value problems arising in science and engineering fields”, Book of Abstract ICCESEN 2015, pp.165, 2015.
[19] Gokmen, E., Sezer, M., Approximate Solution of a Model Describing Biological Species
Living Together by Taylor Collocation Method, 1st International Eurasian Conference on Mathematical Sciences and Applications, Prishtine/Kosovo, 2012.
[20] Gokmen, E., Sezer, M., Taylor collocation approach for delayed Lotka-Volterra
predator-prey system, 2nd International Eurasian Conference on Mathematical Sciences and Applications, Sarajevo/Bosnia and Herzegovina, 2013.
[21] Muhammed ÇETİN, Hüseyin KOCAYİĞİT, Mehmet SEZER, “On the Solution of
Differential Equation System Characterizing Curve Pair of Constant Breadth by the Lucas Collocation Approximation”, International Conference on Applied Analysis and Mathematical Modeling (ICAMM), Yıldız Technical University, İstanbul, Turkey, pp. 218, 812 June 2015.
[22] SEZER, M., YALÇINBAŞ, S., AKKAYA, T.,(2011), ‘‘An Efficient Algorithm for
obtaining an Approximate Solution of Sturm-Liouville Problem by using BoubakerChebyshev Matrix Method’’, International Conference on Applied Analysis and Algebra (ICAAA), Yıldız Technical University, 29 Haziran - 2 Temmuz 2011, İstanbul s:191.
[23] ERDEM, K., SEZER, M., YALÇINBAŞ, S., (2011), ‘‘A new Collocation Method for
Solution of Linear Fredholm Integrodifferential -Difference Equations using Bernoulli Polynomials’’, International Conference on Applied Analysis and Algebra (ICAAA), Yıldız Technical University, 29 Haziran - 2 Temmuz 2011, İstanbul s:192.
[24] TAŞTEKİN, D., YALÇINBAŞ, S., SEZER, M., (2013), “Taylor collocation method for
solving a class of the first order nonlinear differential equations”, 4th International Conference on Mathematical and Computational Applications 2013 (ICMCA 2013), 11-13 June 2013, Manisa. (Bu çalışma, Mathematical & Computational Applications Dergisinde makale olarak yayınlanmıştır)
[25] KURT, A., YALÇINBAŞ, S., SEZER, M., (2013), “Fibonacci collocation method for
solving linear differential-difference equations”, 4th International Conference on Mathematical and Computational Applications 2013 (ICMCA 2013), 11-13 June 2013, Manisa. (Bu çalışma, Mathematical & Computational Applications Dergisinde makale olarak yayınlanmıştır)
[26] Yüzbaşi Ş., Gök E., Sezer M., "Laguerre Series Solutions Of A Class Of Delay
Differential Equations With The Residual Error Estimation", International Conference on Applied Analysis and Algebra, TÜRKIYE, 20-24 Haziran 2012, pp.77
[27] Gök E., Yüzbaşi Ş., "Residual Correction Of The Hermite Polynomial Solutions Of The
Generalized Pantograph Equations", The 2nd International Conference on Computation for Science and Technology, TÜRKIYE, 9-11 Temmuz 2012
[28] Yüzbaşi Ş., Gök E., Sezer M., "Müntz-Legendre Polynomial Solutions Of The Model Of
Pollution For A System Of Lakes’", International Conference on Applied Analysis and Mathematical Modelling, TÜRKIYE, 2-5 Haziran 2013.
[29] Yüzbaşi Ş., Gök E., Sezer M., "Müntz-Legendre Polynomial Solutions Of Linear Delay
Fredholm Integro-Differential Equations And Residual Corrections", 4th International Conference on Mathematical and Computational Applications, TÜRKIYE, 11-13 Haziran 2013, vol.18, pp.476
[30] Yüzbaşi Ş., Gök E., Sezer M., "Müntz-Legendre Matrix Method To Solve The Delay
Fredholm Differential Equations With The Constant Coefficients", 4th International Conference of Matrix Analysis and Applications, KONYA, TÜRKIYE, 2-5 Temmuz 2013, pp.**
[31] Yüzbaşi Ş., Gök E., Sezer M., A Müntz-Legendre Method For Solving Systems Of First
Order Linear Functional Differential Equations, Internatoional Conference on Advancements in Mathematical Sciences, ANTALYA, TÜRKİYE, 5-7 Kasım 2015.
[32] Gürbüz B., Sezer M., "A new computational method based on Laguerre polynomials for
solving certain nonlinear partial integro differential equations" Book of Abstract ICCESEN 2016, p. 187, 2016.
[33] Gürbüz B., Sezer M., "Laguerre polynomial solutions of a class of delay partial
functional differential equations with integral terms" Book of Abstract ICCESEN 2016, p. 186, 2016.
[34] Gürbüz B., Sezer M., "Laguerre polynomial approach for solving nonlinear Klein-
Gordon equations" Proceeding Book of International Congress on Fundamental and Applied Sciences (ICFAS 2016), p. 29, 2016.
[35] Gürbüz B., Sezer M., "A numerical solution of parabolic-type Volterra partial integro-
differential equations by Laguerre collocation method" Proceeding Book of The 5th International Conference on Pure and Applied Mathematics (ICPAM 2016), p. 26, 2016.
[36] Gürbüz B., Sezer M., "Numerical solutions of one-dimensional parabolic convection-
diffusion problems arising in biology by the Laguerre collocation method" Proceeding Book of the conference international conference on Mathematical Methods and Models in Biosciences (Biomath 2016), Biomath Communications, Vol 3, No 1 (2016), DOI: http://dx.doi.org/10.11145/cb.v3i1.668, 2016.
[37] Gürbüz B., Sezer M., "A novel method based on generalized Laguerre polynomials for
pantograph type functional differential equations with mixed proportional and variable delays" Proceeding Book of the conference ICPAS 2016, p. 166, 2016
[38] Gürbüz B., Sezer M., "A computational method for solving second order nonlinear
ordinary differential equations by means of Laguerre series" Book of Abstract ICCESEN 2017, pp. 164, 2017.
[39] Gürbüz B., Sezer M., "Hybrid Laguerre-Taylor matrix method for solving high-order
integro-differential equations with variable delays" Book of Abstract ICCESEN 2017, p. 165, 2017.
[40] Gürbüz B., Sezer M., "Modified operational matrix method for second order nonlinear
ordinary differential equations with quadratic and cubic terms" Proceedings Book of the Ukrainian Conference on Applied Mathematics (UCAM 2017), p. 58, 2017.
[41] Gürbüz B., Sezer M., "A computational technique based on Laguerre series to solve
singularly perturbed linear parabolic delay partial differential equations" Book of Abstracts ICSuSaT-2018, s. 22, 2018.
[42] Gürbüz B., Sezer M., "Improved Laguerre matrix method for solving some nonlinear
functional partial differential equations" Book of Abstracts ICAMLS 2018, p. 33, 2018. [43] Gürbüz B., Sezer M., "Laguerre polynomial solutions of a class of nonlinear reaction
diffusion equation and its applications in biology" Booklet of ECMTB 2018, Session-Mathematical Methods in Biology IV, Book of Abstracts ECMTB 2018, p. 580, 2018.
[44] Gürbüz B., Sezer M., "A Numerical approach for solving Burger-Fisher equation with
variable coefficients using Laguerre polynomials" Abstract Book of ICAME 2018, p. 80, 2018.
[45] Gürbüz B., Sezer M., "Laguerre matrix-collocation method to solve systems of
pantograph type delay differential equations" Abstract Book of CMES-2019, p. 147, 2019.
[46] Gürbüz B., Sezer M., "A computational technique for solving neutral type integro
differential equations with variable delay" Book of Abstracts INBAK-2019, s. 273, 2019.
[47] Baykuş Savaşaneril N, Sezer M,"A new numerical method based on hybrid Taylor and Lucas polynomials for solving a class of linear Volterra-type functional integto-differential equations with proportional and variable delays",International Conference on Regent Advancesin Pure and Applied Mathematics, Bodrum, Mayıs 2016, serbest bildiri, Uluslararası Hakemli organizasyon.
[48] Baykuş Savaşaneril N, Sezer M,"Lucas Polynomial Solutions of a Class of Neutral Type
Functional Differential Equations with Several Delays",International Conference on Applied Analysis and Mathematical Modeling, İstanbul, Temmuz 2017, serbest bildiri, Uluslararası Hakemli organizasyon.
[49] Baykuş Savaşaneril N, Sezer M,"A Combined Operational Matrix Method Based on
Lucas Polynomials for Solving Pantograph Type Functional Differential Equations with Mixed Delays",INTERNATIONAL CONFERENCE ON APPLIED ANALYSIS AND MATHEMATICAL MODELING, İstanbul, Temmuz 2017, serbest bildiri, Uluslararası Hakemli organizasyon.
[50] Baykuş Savaşaneril N, Sezer M,"An efficient method based on Lucas polynomials for solution of Lane-Emden type functional differential equations with delays",International Conference on Mathematics and Engineering, Esenler, Mayıs 2017, serbest bildiri, Uluslararası Hakemli organizasyon.
[51] Baykuş Savaşaneril N, Sezer M,"Hybrid Taylor-Lucas matrix method for solving a
neutral functional differential equation with constant coefficients and proportional delays",International Conference on Mathematics and Engineering, Esenyurt, Mayıs 2017, serbest bildiri, Uluslararası Hakemli organizasyon.
[52] Kürkçü, Ö. K., Aslan, E., Sezer, M. A Dickson Matrix Technique for Solving Some
Special Equations Arising in science. International Students Science Conference, 05-06 May, 2017, İzmir (Bildiri Özetleri Kitabı, 66 s.)
[53] Kürkçü, Ö. K., Aslan, E., Sezer, M. A Hybrid Numerical Method Based on Dickson
Polynomials for Solving Some Fractional Model Differential Equations. 2nd International University Industry Cooperation, Rd and Innovation Congress (Argeinv 2018), 14-15 Nov,2018, Manisa (Bildiriler Kitabı, 122-128.)
[54] Kürkçü, Ö. K., Aslan, E., Sezer, M. A Numerical Method for Solving Functional
Differential Equationswith Delays. 2nd International Students Science Congress, 04-05 May, 2018, İzmir, (Bildiriler Kitabı, 72-77.)
[55] Başar,Ü.,Sezer,M., A Combined Numerical Approach Based upon Genocchi Series for
Solution of Functional Integro-Differential Equations. 2nd International Students Science Congress, 04-05 May, 2018, İzmir, (Bildiriler Kitabı, 78-82.)
[56] Çayan,S.,Sezer,M, Çevik,M.,A Numerical Solution of Cauchy Problem for Partial
Differential Equations by Means of Pell Polynomials. 2nd International Students Science Congress, 04-05 May, 2018, İzmir, (Bildiriler Kitabı, 102-108).
[57] Kalfaoğlu,B.,Durgun,D.D.,Sezer,M., Müntz-Legendre Polynomial Solutions of a Class
of Delay Differential Equations having First Order Nonlinear Terms. 2nd International Students Science Congress, 04-05 May, 2018, İzmir, (Bildiriler Kitabı, (109-114)
[58] Güleç,İ.,Sezer,M.,Savaşaneril,N.B., A Numerical Approach Based on Abel Polynomials
for Solving Nonlinear Duffing Differential Equations. 2nd International Students Science Congress, 04-05 May, 2018, İzmir, (Bildiriler Kitabı, 115-121).
[59] Baykuş Savaşaneril N, Sezer M, Matrix method for solving a class of Volterra type
integro differential equations with variables delays by means of Lucas and Taylor polynomials, V. Uluslararası Multidisipliner Çalışmaları Sempozyumu, Ankara, Kasım 2018, serbest bildiri, Uluslararası Hakemli organizasyon.
[60] Baykuş Savaşaneril N, Sezer M,"Lucas polynomial approach for solving a class of
nonlinear differential equations with mixed delays",V. Uluslararası Multidisipliner Çalışmaları Sempozyumu, Ankara, Kasım 2018, serbest bildiri, Uluslararası Hakemli organizasyon.
[61] Baykuş Savaşaneril N, Sezer M,"Numerical Solution of Nonlinear Second-Order
Pantograph Equations by Means of Lucas Matrix-Collocation Method", INTERNATIONAL CONFERENCE ON MATHEMATICS, Zeytinburnu, Temmuz 2018, serbest bildiri, Uluslararası Hakemli organizasyon.
[62] Baykuş Savaşaneril N, Sezer M,"Lucas Matrix Method for a Class of Nonlinear Delay
Fredholm Integro-Differential Equations",INTERNATIONAL CONFERENCE ON MATHEMATICS, Zeytinburnu, Temmuz 2018, serbest bildiri, Uluslararası Hakemli organizasyon.
[63] Baykuş Savaşaneril N, Sezer M,"Taylor-Lucas Matrix-Collocation Method for Solving
a Class of Neutral Functional Differential Equations with Proportional Delays",ICAAMM 2018, Avcılar, Haziran 2018, serbest bildiri, Uluslararası Hakemli organizasyon.
[64] Baykuş Savaşaneril N, Sezer M,"A Numerical Algoritm for Solution of First Order
Nonlinear Differential Equations with Variable Delays by Means of Lucas Series",ICAAMM 2018, Avcılar, Haziran 2018, serbest bildiri, Uluslararası Hakemli organizasyon.
[65] Kürkçü, Ö. K., Aslan, E., Sezer, M. A Reliable Numerical Approximation to Physical Pendulum Equation using Dickson Polynomials. 3rd International Students Science Congress, 03-04 May, 2019, İzmir (Bildiriler Kitabı, 261-268.)
[66] Çayan, S., Sezer,M., Pell Matrix Collocation Method for Solving Damped Wave
Equation 3rd International Students Science Congress, 03-04 May, 2019, İzmir (Bildiriler Kitabı, 269-277.)
[67] Demir, D.,D., Lucande, A.P., Sezer,M., Bernoulli Series Approach for a Class of
Fredholm-type Integro-Differential Equations with Proportional Delays, 3rd International, Students Science Congress, 03-04 May, 2019, İzmir (Bildiriler Kitabı, 278-286.)
[68] Başar,Ü., Sezer,M, Savaşaneril,N.,B., Stirling Matrix-Collocation Method to Solve
Systems of Functional Differential Equations with Deviating Argument, Students Science Congress, 03-04 May, 2019, İzmir (Bildiriler Kitabı, 297-304.)
[69] Yıldız,G.,Sezer,M., Numerical Solutions of Fredholm Type Integro-Differential
Equations Mixed Delays by Means of Bell Matrix-Collocation Method, Students Science Congress, 03-04 May, 2019, İzmir (Bildiriler Kitabı, 305-313.)
[70] Özalp,T.,Sezer,M.,Gegenbauer-Taylor Matrix Technique for Neutral Type Second
Order Functional Integro-Differential Equations with Variable Bounds, Students Science Congress, 03-04 May, 2019, İzmir (Bildiriler Kitabı, 314-320.)
[71] Aykutalp, E.Z.,Sezer,M.,Boubaker Collocation Method for Neutral Functional-
Differential Equations with Proportional Delays , Students Science Congress, 03-04
May, 2019, İzmir (Bildiriler Kitabı, 321-330.) [72] Elmacı,D.Savaşaneril,N.B.,Sezer,M., An Euler Matrix Technique for Solving Nonlinear
Duffing Differential Equation by Using Euler Polynomials, Students Science Congress, 03-04 May, 2019, İzmir (Bildiriler Kitabı, 373-380.)
[73] Elmacı,D.,Savaşaneril,N.B.,Sezer,M., Euler-Taylor Matrix Technique for Solving a
Class of High Order Delay Differential Equations with Nonlinear Terms, Students Science Congress, 03-04 May, 2019, İzmir (Bildiriler Kitabı, 381-388.)
D1.4 (YDKM) : Yurt Dışı Kitapta Yayımlanan Makaleri D1.5 : Ulusal hakemli dergilerde yayımlanan makaleler
[1] SEZER, M., (1984), On the Solution Methods of Cauchy Problem Associated with Parabolic Partial Differential Equations, E.Ü. Journal of Science Faculty, Series A, Vol. 8, NR.1, 59-69.
[2] SEZER, M., İREN, M., (1987), Bir Birim Levha Üzerinde Belirlenmiş Noktalardaki
Sıcaklık Değerlerinin Dirichlet Sınır Şartlarında Nümerik Olarak Hesaplanması, E.Ü. Bilgisayar Araştırma ve Uygulama Merkezi Dergisi, Cilt: 10, Sayı: 2, 169-184.
[3] SEZER,M.; (1987), Chebyshev Serileri İle Isı Denkleminin Yaklaşık Çözümü, Ondokuz
Mayıs Üniversitesi Fen-Ed. Fak. Fen Dergisi Özel Sayısı, Yayın No:25, 285-294. [4] SEZER,M.; (1987), H-Tipi Sınır-Değer Probleminin Chebyshev ve Fourier Seri
Çözümleri üzerine; Ondokuz Mayıs Üniversitesi Fen-Ed. Fak. Fen Dergisi Özel Sayısı,Yayın No:25, 285-294.
[5] KÖSE, Ö., NİZAMOĞLU, Ş., SEZER, M., (1988), An Explicit Characterization of Dual
Spherical Curves, DOĞA TU J.Math. Vol. 12, Num. 3, 105-113. [6] KÖSE, Ö., SEZER, M., NİZAMOĞLU, Ş., (1989), A Criterion for An n-Space Curve to
be Closed, Journal of Faculty of Sciance Ege University, Series A, Vol. 12, 1, 29-36. [7] NİZAMOĞLU, Ş., SEZER, M., KÖSE, Ö., (1989), Isotropic Congruences Associated
with A Ruled Surface, Journal of Faculty of Science Ege University, Series A, Vol. 12, 1, 37-43.
[8] SEZER, M., (1989), A Chebyshev Polynomial Approximation for Dirichlet Problem,
Journal of Faculty of Science Ege University, Series A, Vol. 12, 2, 69-78. [9] NİZAMOĞLU, Ş., SEZER, M., (1989), Izotrop Kongrüanslar için Diferansiyel-
Geometrik Koşullar, DOĞA TU J. Mat., D.C. 13, S.3, 113-119. [10] SEZER, M., (1989), Differential Equations and integral characteriz for E4-spherical
Curves, DOĞA TU J.Math., 13, 3, 125-131.
[11] B.GÜRBÜZ, M.GÜLSU, M.SEZER, Numerical solution of differential difference
equations by Laguerre collocation method, Erciyes Ğniversitesi Fen Bilimleri Enstitüsü Dergisi, 27(1)2011, 75-87.
[12] SEZER, M., KÖSE, Ö., NİZAMOĞLU, Ş., (1990), A Criterion for A Ruled Surface to
be Closed, DOĞA Turkish Journal of Mathematics, 14, 39-47. [13] SEZER, M., (1992), The Solutions of Certain Classes of Fredholm Integral Equations by
Means of Taylor Series, Uludağ University Journal Faculties of Education, Vol.VIII, 2, 17-24.
[14] SEZER, M., (1992), Solution of Dirichlet Problem in terms of Eliptic Functions, Yıldız
Üniversitesi Dergisi, 1-4, 63-68. [15] SEZER, M., DOĞAN, S., (1993), A Taylor Polynomial Approximation for Solving
Linear Fredholm Integral Equations, Buca Eğitim Fakültesi, Eğitim Bilimleri Dergisi, Yıl 2, Sayı 2, 39-48.
[16] SEZER, M., KÖROĞLU, H., (1994), Taylor Polynomial Solutions of Nonlinear
Fredholm Integral Equations of The Second Kind, Buca Eğitim Fakültesi, Eğitim Bilimleri Dergisi, Yıl 3, Sayı 6.
[17] S.YALÇINBAŞ, M. SEZER, (1998) Volterra-Fredholm İntegral Denklemlerin Taylor
Polinom Çözümleri, C.Bayar Üniv. Fen-Ed.Fak.Dergisi,Fen Bilmleri Serisi,4, 4,1-8 [18] G.YÜKSEL, M.GÜLSU, M.SEZER; A Chebyshev Polynomial Approach for High-Order
Linear Fredholm-Volterra Integro-Differential Equations,Gazi University Journal of Sciences,35(2);393-401 (2012).
[19] G. YÜKSEL, M. SEZER, A Chebyshev approximate method for solving constant
coefficients pantograph equations, Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 15-1, 29-35, (2011). (İzmir 9. Dinamik Sistemler çalıştayında sunulmuştur).
[20] M.SEZER, A.AKYÜZ-DAŞCIOĞLU, A polynomial approximation for solutions of
linear differebtial equations in circular domains of the complex plane. Erciyes Ğniversitesi Fen Bilimleri Enstitüsü Dergisi, 28(1)2012 60-64.
[21] Gürbüz B., Gülsu M., Sezer M., “Diferansiyel fark denklemlerinin Laguerre sıralama
yöntemi ile nümerik çözümleri”, Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 27(1) 75-87, 2
[22] Elçin GÖKMEN, Mehmet SEZER, Taylor Collocation Method for Nonlinear System of
Second-Order Boundary Value Problems, Düzce University Journal of Science & Technology, 1 (2013) 11–23
[23] Berna Bülbül ve Mehmet Sezer, İntegral koşullu hiperbolık tip kısmi diferansiyel denklemlerin taylor polinom çözümlsri, Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 28(5)(2012) 421-428.
[24] Yalçınbaş S, Aykutalp E Z, Sezer M, Boubaker Polynomial Approach for Solving High-
Order Linear Differential-Difference Equations with Residual Error Estimation, Mühendis Beyinler Dergisi, 1(1)(2016) 12-27.
[25] Mollaoğlu T, Sezer M, A Numerical Approach with Residual Error Estimation for
Eolution of High-order Linear Differential-difference Equations by Using Gegenbauer Polynomials, Celal Bayar University Journal of Science, 12(1)(2017) 39-49.
[26] Şahin M, Sezer M, Pell-Lucas Collocation Method for Solving High-OrderFunctional
Differential Equations with Hybrid Delays, Celal Bayar University Journal of Science, 14(2)(2018) 141-149.
[27] Gümgüm S, Savaşaneril Baykuş N, Kürkçü Ö K, Sezer M, A numerical technique based
on Lucas polynomials together with standard and Chebyshev-Lobatto collocation points for solving functional integro-differential equations involving variable delays, Sakarya Unıversıty Journal Of Scıence, 22(6)(2018) 1659-1668.
D1.6 : Ulusal bilimsel toplantılarda sunulan ve bildiri kitaplarında basılan bildiriler:
[1] SEZER,M.; Frenet Benzeri Bir Diferansiyel Denklemler Sistemınin Integral Özellikleri ve Uygulamaları, E.Ü.Fen Fakültesi Bilimsel Toplantılar Serisi, No.1,(25-28 Eylül 1989, E.Ü.Fen Fak.Mat.Böl. II.Ulusal Matematik Sempozyumu Bildirileri),s.435-444,1991.
[2] KÖROĞLU,H., SEZER,M.; Bazı İntegrodiferansiyel Denklemlerin Chebyshev Polinom
Çözümleri, VIII.Ulusal Matematik Sempozyumu, 19-23 Eylül 1995, Adana
[3] KARAMETE,A.,SEZER,M.;Bazı İntegrodiferansiyel Denklemlerin Taylor Polinom Çözümleri İçin Taylor Collocation Yöntemi, Balıkesir Üniv.” Altınolukta Matematik
Günleri” Sempozyumu, 23-26 Mayıs 1996, Balıkesir. [4] KARAMETE,A.,SEZER,M.;Volterra İntegral ve İntegrodiferansiyel Denklemlerin
Yaklaşık Çözümü İçin Bir sıralama Yöntemi, Balıkesir Üniv.” Sarımsaklıda Matematik Günleri” Sempozyumu,5-8-Haziran 1997, Ayvalık-Balıkesir.
[5] Bülbül B.,Gülsu M., Sezer M.,“Lineer Fredholm-Volterra İntegro-Diferansiyel
Denklemleri İçin Taylor Polinom Yaklaşımları Üzerine” II Türk Dünyası Matematik Sempozyumu, Sakarya Üniversitesi,4-7 Temmuz 2007, Sakarya.
[6] Yüksel G.,Gülsu M., Sezer M.,“ Lineer Fredholm-Volterra İntegro-Diferansiyel Denklemleri İçin Chebyshev Yaklaşımları Üzerine” II Türk Dünyası Matematik Sempozyumu, Sakarya Üniversitesi,4-7 Temmuz 2007, Sakarya.
[7] Bülbül B.,Gülsu M., Sezer M.,“İkinci mertebeden lineer olmayan diferansiyel
denklemlerin bir sınıfının polinom çözümleri” XX.Ulusal Matematik Sempozyumu, Atatürk Üniversitesi, 3-6 Eylül 2007, Erzurum.
[8] YALÇINBAŞ, S., SEZER, M., SORKUN, H.H., ‘‘Yüksek mertebeden lineer Fredholm
integro-diferansiyel denklemlerin çözümleri için Legendre polinom yaklaşımı’’, Türk Matematik Derneği XX. Ulusal Matematik Sempozyumu, 3-6 Eylül 2007, Atatürk Üniv. Fen Ed. Fak. Matematik Böl., Erzurum, 149-171, 2009. (Bu çalışma, Applied Mathematics and Computation Dergisinde makale olarak yayınlanmıştır: 5- nolu yayın)
[9] E.Gök, Ş. Yüzbaşı, M. Sezer ’’Lineer neutral gecikmeli diferansiyel denklemler için
Hermite polinom yaklaşımı ve rezidüel iyileştirme’’, 7. Ankara Matematik Günleri Sempozyumu, Bilkent Üniversitesi, Ankara, 31 Mayıs–1 Haziran 2012.
[10] Gürbüz B., Gülsu M., Sezer M., ”Laguerre polynomial approach for solving delay
differential equations”, XXIII. Ulusal Matematik Sempozyumu Özet Kitapçığı, 150, 2010. [11] Gök E., Yüzbaşi Ş., Sezer M., "Lineer Neutral Gecikmeli Diferansiyel Denklemler Için
Hermite Polinom Yaklaşımı Ve Rezidüel Iyileştirme", 7. Ankara Matematik Günleri Sempozyumu, ANKARA, TÜRKİYE, 31 Mayıs-1 Haziran 2012, ss.87
[12] Yüzbaşi Ş., Gök E., Sezer M., Multı-Pantograph Denklem Sistemlerinin Yaklaşık
Çözümü İçin Müntz-Legendre Polinom Yöntemi, 13. Matematik Sempozyumu Matder KARABÜK, TÜRKİYE, 15-17 Mayıs 2014.
[13] Yüzbaşi Ş., Gök E., Sezer M., Oransal Gecikmeli birinci mertebeden diferansiyel
denklem sistemlerinin yaklaşık çözümleri için Müntz-Legendre polinom yöntemi, 28.Ulusal matematik Sempozyumu, ANTALYA, TÜRKİYE, 07-09 Eylül 2015.
[14] Yüzbaşi Ş., Gök E., Sezer M., "Yüksek Mertebe Değişken Katsayılı Diferansiyel
Denklem Sistemlerinin Müntz-Legendre Polinom Çözümleri Ve Rezidüel Düzeltme", 8. Ankara Matematik Günleri Sempozyumu, ANKARA, TÜRKİYE, 13-14 Haziran 2013
D2: Basılmış Kitapları D2.1: Yurt Dışı- D2.2 : Basılan kitaplar veya kitaplarda bölümler
[1] ARISOY,M.,SEZER;M., DANE,A.; Matematik I, Uludağ Üniv.Necatibey Eğitim Fak.Fen Bil.Eğitimi Bölümü, Ders Notları Yayınları No:29, 1984.
[2] SEZER,M.;Lineer Cebir ve Analitik Geometri; DEÜ Yayınları, No:0901 YK.89.003.055 (Yardımcı Ders Kitabı),1990.
[3] SEZER,M.;Diferansiyel Denklemler Ve Çözümlü Problemler I, DEÜ Yayın Alt
Komitesinin 2.7.1991 tarih ve 262-1 sayılıı kararla basılmış ders kitabı.(2.Baskı 1995) [4] SEZER,M.;Diferansiyel Denklemler Ve Çözümlü Problemler II, DEÜ Yayın Alt
Komitesinin 18.2.1992 tarih ve 67 sayılı; 11.3.1992 /265-17 sayılı kararla basılmış ders kitabı.
[5] AKIN,Ö.(Çeviri Editörü).SEZER,M.(Çeviri kurulu üyesi);Matematik Analiz ve Analitik
Geometri I-II,Palme Yayıncılık.(2001).(Kitabın özgün adı:Calculus with Analytic Geometry.Yazarı:C.Henry Edvards-David Penney;Prentice-Hall,Inc..)
[6] Akın, Ö.(çeviri editörü); Sezer,M.(çeviri kurulu üyesi) Uygulamalı Lineer Cebir, Palme
Yayıncılık.Yazarı:Bernard Kolman, Devid R.Hill, [7] MSezer, N.Baykuş; Genel MatematikI, Mangitan Matbaası,İZMİR, 2009. [8] M.Sezer, N.Baykuş, Genel Matematik II, Dinazor Kitabevi, 2010. [9] M.SEZER, A.DAŞCIOĞLU, Diferansiyel Denklemler I: Teori ve problem çözümleri,
Dora Basım Yayın- Osmangazi, BURSA( 7.Baskı),2019. [10] M.Sezer, N.B.Savaşaneril, Kalkülüs Cilt 1, Dora Basım-Yayın Dağıtım Ltd.Şti.,
ISBN:978-605-9929-05-9, 1.Baskı, Ekim2015, Osmangazi- BURSA
[11] Mehmet SEZER,Doç.Dr. Nurcan BAYKUŞ SAVAŞANERİL,"Kalkülüs Cilt II", Edt: Doç. Dr. Aynur Keskin Kaymakçı, Atlas Akademi, Konya, 978-605-63373-1-4, (2016), Ders Kitabı, Kitap yazarlığı.
[12] A.DAŞCIOĞLU, M.SEZER, Diferansiyel Denklemler 2; Teori ve Problem Çözümleri,
Dora Basım Yayın-Osmangazi,BURSA, 2018. D3: Destek Proje Yürütücülüğü
[1] SEZER,M., KÖROĞLU,H.,ALBAYRAKOĞLU,S.; Üniversitelerde Bazı Diferansiyel Denklemlerin Öğretimi İçin Yöntemler, DEÜ Araştırma Projesi,No:0.926.97.01.04-1998.(YÖNETİCİ)
[2] SEZER,M. KÖROĞLU,H.,KEŞAN,C.;Bilgisayar Laboratuvarlarının Eğitimde Aktif
Kılınması için Güncelleştirilmesi, DEÜ Araştırma Projesi. No:0901.97.00.01-1999.(YÖNETİCİ)
[3] D4.1.4, D4.1.5, D4.2.4, D4.2.6, D4.2.7 nolu lisansüstü tezleri, D.E.Ü.Araştırma Fon
Saymanlığınca desteklenmiş projelerdir. [4] SEZER,M., GÜRBÜZ,B., “Kısmi Fonksiyonel İntegro diferansiyel denklemlerin
Laguerre polinomlarına dayalı nümerik çözümleri ve uygulamaları”, Manisa Celal Bayar
Üniversitesi, Bilimsel Araştırmalar Birimi, Doktora Tez Projesi, referans no: 2014-151, 2014-2017.
[5] SEZER,M., GÜRBÜZ,B., “Fen ve Mühendislik alanlarında karşılaşılan lineer olmayan
başlangıç ve sınır değer problemlerinin bir sınıfının polinom çözümleri”, Manisa Celal Bayar Üniversitesi, Bilimsel Araştırmalar Birimi, Hızlı Proje, referans no: 2014-148, 014- 2015.
D4: Yönetilen Lisansüstü Tezleri D4.1 Yönetilen Yüksek Lisans Tezleri:
[1] Mehmet KAYNAK: Chebyshev Polynomial Solutions of Linear Differential and Integral Equations, Dokuz Eylül Üniv. Fen Bil. Ens. Matematik Eğitimi ABD.,Yüksek Lisans Tezi, 1994.
[2] Ayşen KARAMETE: Lineer Diferansiyel Denklemlerin Yaklaşık Çözümü İçin Taylor
Sıralama Yöntemi, Balıkesir Üniv. Fen Bil. Ens. Matematik Eğitimi ABDalı,Yüksek Lisans Tezi, 1996
[3] İhsan Timuçin DOLAPÇI: Lineer Diferansiyel Denklemlerin Yaklaşık Çözümü İçin
Chebyshev Sıralama Yöntemi, Dumlupınar Üniv. Fen Bil. Ens. Mat. ABD.,Yüksek Lisans Tezi, 1996
[4] Cenk KEŞAN: Polynomial Solutions of Certain Differential Equations, DEÜ Fen. Bil.
Ens. Mat. Eğitimi ABD.,Yüksek Lisans Tezi, 1996 [5] Ayşegül AKYÜZ: Chebyshev Collocation Method for Solution of Linear
Integrodifferential Equations, DEÜ Fen Bil. Ens. Mat. Eğitimi ABD., Yüksek Lisans Tezi, 1997.
[6] Engin BOZACI: Değişken Katsayılı Diferansiyel Denklemler, Balıkesir Ün. Fen Bil. Ens.
Mat. Eğitimi ABD.,Yüksek Lisans Tezi, 2000. [7] Volkan SUZAN: Diferansiyel Denklemlerin Lie Grup Analizi, DEÜ Eğitim Bil. Ens.
Mat. Eğitimi ABD.,Yüksek Lisans Tezi, 2000. [8] Aysun Nüket ELÇİ; Ortaöğretim Matematik Öğretiminde Öğretmen Davranışlarının
Başarıya Etkisi, DEÜ Eğitim Bil.Ens. OÖFMAE ABD.Matematik Eğitimi Y.Lisans Prog. Y.L.Tezi(2002)
[9] Bülent Nuri Özcan; İlköğretim İkinci Kademede Ödev ve projenin Matematik Başarısına
Etkisi; DEÜ.Eğitim Bilimleri Enstitüsü,İlköğretim ABD.Matematik Eğitimi Y.Lisans Tezi(2003)
[10] Kenan TOPRAK; Matematik Eğitiminde Mikrobilgisayar Laboratuvarları ve Kullanımı, DEÜ Eğitim Bil.Ens. OÖFMAE ABD. Matematik Eğitimi Y.Lisans Prog. Y.L.Tezi.(2003)
[11] Fatma Albayrak, Chebyshev Polinomlarının matris Özellikleri ve Diferansiyel
Denklemlere Uygulamaları, Muğla Üniversitesi Fen Bilimleri Enstitüsü (2007) [12] Filiz Aydın, Diferansiyel, İntegral ve İntegrodiferansiyel Denklemlerin Legendre
Polinom Çözümleri, Muğla Üniversitesi Fen Bilimleri Enstitüsü (2007) [13] Evrim ÇAKMAK, Birinci Mertebeden Bazı Lineer Olmayan Diferansiyel Denklemlerin
Taylor Polinom Çözümleri, Muğla Üniversitesi Fen Bilimleri Enstitüsü (2008). [14] Hasan Emre SARI, Fredholm İntegrodiferansiyel Denklemlerin Laguerre Polinom
Çözümleri, Muğla Üniversitesi Fen Bilimleri Enstitüsü (2009). [15] Demet DURMUŞ, Orthogonal Polinomların Matris Özellikleri ve Uygulamaları, Muğla
Üniversitesi Fen Bilimleri Enstitüsü (2010). [16] Seher ÇAY, Bernoulli polinomlarının matris özellikleri ve uygulamaları. Muğla Üniv.
Fen Bil.Enst.(2011) [17] Süleyman AYDINYÜZ, Yüksek Mertebeden Lineer İntegro-diferansiyel-Fark
Denklemleri çin Müntz-Legendre Polinom Yaklaşımı, Muğla Üniv.Fen Bil.Enst, 2014. [18] Bengü TÜRKYILMAZ, Lineer Fonksiyonel Diferansiyel Denklemlerin Morgan-Voyce
Polinom Çözümleri ve Uygulamaları, Celal Bayar Üniversitesi, Fen Bilimleri Enstitüsü, 2016.
[19] Melike ŞAHİN, Fredholm tipindeki fonksiyonel integro-diferansiyel denklemlerin pell-
lucas polinom çözümleri ve uygulamaları, Celal Bayar Üniversitesi, Fen Bilimleri Enstitüsü, 2017.
[20] Tuğçe MOLLAOĞLU, Volterra tipi gecikmeli fonksiyonel integro-diferansiyel
denklemler için Gegenbauer Polinom Yaklaşımı, Celal Bayar Üniversitesi, Fen Bilimleri Enstitüsü, 2017.
[21] İclal YILDIZHAN, Dickson polinomlarının matris özellikleri ve pantograph tip
fonksiyonel denklemlere uygulamaları, Celal Bayar Üniversitesi, Fen Bilimleri Enstitüsü, 2017.
[22] Elif Zinnur AYKUTALP, Fonksiyonel diferensiyel, integral ve integro-diferensiyel
denklemlerin Boubaker polinom çözümleri ve uygulamaları, Manisa Celal Bayar Üniversitesi, Fen Bilimleri Enstitüsü, 2018.
[23] Ezgi ŞAŞMAZ, Bernoulli ve Euler polinomlarının matris özellikleri ve gecikmeli integro
diferansiyel denklemlere uygulamaları, Manisa Celal Bayar Üniversitesi, Fen Bilimleri Enstitüsü, 2018.
[24] Seda ÇAYAN, Lerch ve Pell polinomlarının matris özellikleri ve lineer kısmi diferansiyel
denklemlere uygulamaları, Manisa Celal Bayar Üniversitesi, Fen Bilimleri Enstitüsü, 2019.
D4.2 Yönetilen Doktora Tezleri :
[1] Setenay DOĞAN:Lineer olmayan İntegral Denklemlerin Chebyshev Yöntemiyle Çözümleri, Uludağ Üniv. Fen Bil. Ens. Matematik ABD., Doktora Tezi,1994.
[2] Hayrettin KÖROĞLU: Chebyshev Series Solutions of Linear Integrodifferential
Equations, DEÜ Fen Bil. Ens. Matematik Eğitimi ABD., Doktora Tezi, 1995. [3] Şennur NAS: Diferansiyel, İntegral ve İntegrodiferansiyel Denklemlerin Yaklaşık
Çözümü için Taylor-Matris Yöntemi, Uludağ Üniv. Fen Bil. Ens. Fizik ABD., Doktora Tezi, 1997.
[4] Salih YALÇINBAŞ: Taylor Polynomial Solutions of Volterra-Fredholm Integral ve
Integrodifferential Equations; DEÜ Fen Bil. Ens. Matematik Eğitimi ABD., Doktora Tezi, 1998.
[5] Sevgi MORALI: A New Way to Obtain Designs Using Graphs, DEÜ Eğit. Bil. Enst.
Matematik Eğit. ABD., Doktora Tezi, 1999. [6] Ayşegül AKYÜZ DAŞÇIOĞLU: Doğrusal İntegrodiferansiyel Denklem Sistemlerinin
Chebyshev Sıralama Yöntemi İle Yaklaşık Çözümleri; DEÜ Fen Bil. Enst. Matematik Eğit. ABD., Doktora Tezi, 2000.
[7] Cenk KEŞAN: ,Chebyshev Polynomial Solutions of Second Order Linear Partial
Differential Equations. DEÜ Eğit. Bil. Enst. Matematik Eğit. ABD., Doktora Tezi, 2001. [8] Ayşen KARAMETE: Yüksek Mertebeden Lineer İntegrodiferansiyel Denklem
Sistemlerinin Yaklaşık Çözümü için Taylor Sıralama Yöntemi. Bal.Üniv.Fen Bil.Enst.Mat.Eğ.ABD,Doktora Tezi,2001.
[9] Nurcan KURT; Dirichlet Probleminin Eliptik Fonksiyonlar Cinsinden Çözümü, . DEÜ
Eğit. Bil. Enst. Matematik Eğit. ABD., Doktora Tezi, 2002. [10] Gamze NAGANLU YÜKSEL, İkinci mertebeden kısmi diferansiyel Denklemlerin
Chebyshev Polinom Çözümleri, Muğla Üniversitesi Fen BilimlerEnstitüsü(2011). [11] Berna BÜLBÜL, İkinci mertebeden kısmi diferansiyel Denklemlerin Taylor Polinom
Çözümleri, Muğla Üniversitesi Fen BilimlerEnstitüsü, Doktora tezi,(2011). [12] Bayram KEMANCI, İkinci mertebeden kısmi diferansiyel Denklemlerin Legendre
Polinom Çözümleri,Muğla Üniversitesi Fen Bilimleri Enstitüsü (OCAK2012).
[13] Elçin GÖKMEN, Yüksek Mertebeden Lineer Değişken Katsayılı Fark (Difference) Denklem Sisteminin Yaklaşık Çözümü için Taylor Sıralama (Collocation) Yöntemi (Muğla Üniv.Fen Bil.Enst.) (2014).
[14] Tuba AYDIN, n-boyutlu Öklid uzayında Sabit Genişlikli ve küresel eğrileri karakterize
eden diferansiyel denklemler ve çözümleri. Muğla Üniv. Fen Bil.Enst.(2014) [15] Muhammed ÇETİN, Sabit Genişlikli Eğriler ve Küresel Eğrilerin Diferensiyel
Karakterizasyonları; Celal Bayar Üniv.Fen Bilimleri Enstitüsü,(2015). [16] Emrah GÖK, Gecikmeli diferansiyel denklem sistemlerinin yaklaşık çözümleri için
Müntz-Legendre sıralama yönte, Celal Bayar Üniversitesi, Fen Bilimleri Enstitüsü, 2016. [17] Cem OĞUZ, Delay integro-diferansiyel Denklem Sistemlerinin Sayısal çözümleri ve
Uygulamaları için Chelyshkov Matris Metodu, Celal Bayar Üniversitesi, Fen Bilimleri, 2017.
[18] Ayşe KURT BAHŞI, Kısmi diferansiyel denklemlerin nümerik çözümleri için Fibonacci
sıralama (Collocation) metodu ve residüel hata analizi, Celal Bayar Üniversitesi, Fen Bilimleri, 2017.
[19] Burcu GÜRBÜZ, Kısmi Fonksiyonel İntegro-Diferansiyel Denklemlerin Laguerre
Polinomlarına Dayalı Nümerik Çözümleri ve Uygulamaları, Celal Bayar Üniversitesi, Fen Bilimleri Enstitüsü, 2017.
[20] Elif YALÇIN, İki Değişkenli Kısmi İntegro Diferansiyel Denklemlerin Hermite
Polinomlarına Dayalı Nümerik Çözümleri ve Uygulamaları, Celal Bayar Üniversitesi, Fen Bilimleri Enstitüsü, 2019.
D5. Yayınlara yapılan atıflar E. AKADEMİK VE İDARİ GÖREVLERİ-TARİHLERİ
[1] Matematik Bölüm Başkanlığı DEÜ Buca Eğ.Fak. 1997-1998.
[2] Ortaöğretim Fen Ve Matematik Alanlar Eğitimi Bölüm Başkanlığı, DEÜ,1998-1999.
[3] Buca Eğtim Fakültesi Fakülte Kurulu Üyeliği, DEÜ,1997-1999.
[4] DEÜ Eğitim Bilimleri Enstitüsü Yönetim Kurulu Üyeliği, DEÜ, 1998-2001.
[5] DEÜ Buca Eğitim Vakfı Yönetim Kurulu Üyeliği, DEÜ,1998.
[6] Buca Eğtim Fakültesi Yayın Kurulu Üyeliği, DEÜ, 1993-2002.
[7] BEF Yurtdışı Öğrenci izleme ve Değerlendirme Komisyonu üyeliği,1996-2002 8. BEF Dergisi Editörlüğü 2001-2002.
[8] BEF Bülteni Koordinatörlüğü 2001-2002 10.BEF Yaz öğretimi, Sınıf öğretmenliği ve Matematik Öğretmenliği Sertifika proğramı yöneticiliği ve koordinatörlüğü(1999-2001 )
[9] Buca Eğitim Fak. Yönetim Kurulu Üyeliği 2001-2002. [10] Buca Eğitim Fakültesi Dekan Yardımcılığı,1999-2002. [11] Muğla Üniv. Fen Ed. Fak. Matematik Bölüm Başkanlığı,2005-2012.
[12] Muğla Üniv. Fen Bil. Ens. Yönetim kurulu Üyeliği, 2009-2012. [13] M.Ü. Fen Fak. Yönetim Kurulu Üyeliği.2011-2012. [14] M.Ü. Etik Üst Kurul Üyeliği, 2010-2012. [15] Journal of Applied Mathematics(Hindawi) dergisinin editörlüğü.2011-- [16] CBU Fen Ed.Fak. Matematik Bölüm Başkanlığı ve Uygulamalı Matematik Anabilimdalı
Başkanlığı, 2012-2015. [17] CBU Fen Bil. Ens.Yönetim Kurulu Üyeliği,2015- [18] CBU Fen Ed.Fak. Uygulamalı Matematik Anabilimdalı Başkanlığı, 2018. F. ÜYESİ OLDUĞU VE GÖREV ÜSTLENDİĞİ ULUSAL VE ULUSLARARASI KURULUŞLAR:
[1] International Society of Difference Equations (ISDE) G. VERDİĞİ LİSANS VE LİSANSÜSTÜ DERSLER
[1] Diferansiyel Denklemlere Giriş [2] Uygulamalı Matematik [3] Genel Matematik I,II [4] Matematik Tarihi [5] Kısmi Diferansiyel Denklemler I,II [6] Kompleks Analizden Seçme Konular [7] Matematik Modelleme [8] Matematik ve Hayat [9] Geometri ve Mat. Uygulamaları
[10] Matematik Öğretimi, I,II [11] Diferansiyel Denklemler Teorisi (L veYL) [12] Eliptik İntegraller ve Fonksiyonlar (Y.L.) [13] Chebyshev Polinimları ve Serileri Teorisi (Dr.) [14] Chebyshev Polynomları ve Serilerinin uygulamaları (Dr) [15] Lineer olmayan İntegral ve integro-dif. Denklemler (Y.L.,Dr.) [16] Uygulamalı Matematik Metodları (Y.L.-Dr.) [17] İleri Analiz [18] İleri Kısmi Diferansiyel denklemler (Y.L, Dr.). [19] AnalizIII [20] İleri Matematik [21] Özel Fonsiyonlar ve Yaklaşımları I, II(Y.L) [22] Yaklaşım Teorisi I-II(Dr.) [23] Delay Diferansiyel Denklemler ve yaklaşımları (Dr) [24] Diferansiyel Fark denklemleri ve yaklaşımları(Dr) CV Mehmet Sezer was born on 1954 in Antalya, Turkey. He received his BS., MS. and Ph.D.
degrees from the Department of Mathematics of Ege University in the years 1976, 1977 and
1982, respectively. His research interests are ordinary and partial differential equations, integral
and difference equations, and their numerical solutions. He has been a reviewer and editor for
numerous influential journals and has published research article related to above areas, 100
papers in SCI journals, and papers in other international refereed journals. These papers have
taken almost 3534 citations in international refereed journals.