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Mathlab PracticeNumerical MethodsElectrical Engineering

Muhammadiyah University of Purwokerto

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(I) Penyelesaian persamaan non-linier (cont.)

Tuliskan pada comand windows pada Matlab

instruksi berikut ini:>> f='x^3-x^2-14*x+24>> fplot(f,[-6 8])

Misalkan terdapat permasalahn sistem akar untuk

menyelesaikan Fungsi berikut ini:F(x)=x3 - x2- 14x + 24

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Penyelesaian persamaan non-linier(cont)

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I.a. Solusi Pers.Non Linier (metode bisection)

x

f(x)

xux

x

f(x)

xux

xm

xx

m =xu

2

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I.b. Solusi Pers.Non Linier (metode newton-raphson)

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I.c. Solusi Pers.Non Linier (metode secant)

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Solusi Persamaan Linier

Given these assumptions, Kirchhoff.s current

rule is applied at each node to yield

Fig. 2. Assumed current directions

Fig 1. A resistor circuit to be solved using

simultaneous linear algebraic equations.Application of the voltage rule to each of the

two loops gives

or, substituting the resistances from Fig 1 and

bringing constants to the right-hand side,

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Therefore, the problem amounts to solving six equations with six

unknown currents. These equations can be expressed in matrix form as

The solution with MATLAB is

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MATLAB Matrix Manipulations

Create a 3 3 matrix:

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MATLAB Matrix Manipulations

Create a tranpose matrix:

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MATLAB Matrix Manipulations

Create a inverse matrix:

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SOLVING LINEAR ALGEBRAIC EQUATIONS WITH MATLAB

Find the solution of linear equation :

Employing left division yields

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SOLVING LINEAR ALGEBRAIC EQUATIONS WITH MATLAB

Find the solution of linear equation :

Alternatively, multiplying the inverse of the coefficient matrix by

the right-hand-side vector gives the same result:

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