Upload
caseyjaneaguilar
View
216
Download
0
Embed Size (px)
Citation preview
8/15/2019 ChE 12 Iteration
1/3
Bisection Method
x f(x)
1 -1.5340140.5 -0.888187
0 1
-0.5 1.029661
-1 -0.445971
Iter # ! " r f(!) f(r) $% f(!)&f(r)
1 0 0.5 0.25 1 1.330161 1.330161013
2 0 0.25 0.125 1 1.879492 18.75 1.879492241
3 0 0.125 0.0625 1 1.567571 9.375 1.567570586
4 0 0.0625 0.03125 1 1.303047 4.6875 1.3030472015 0 0.03125 0.015625 1 1.154517 2.34375 1.154516561
6 0 0.015625 0.007813 1 1.077771 1.171875 1.077770906
7 0 0.007813 0.003907 1 1.038986 0.58595 1.038986392
8 0 0.003907 0.001954 1 1.019517 0.293 1.019516585
)'sin1 cos( 0 3
8/15/2019 ChE 12 Iteration
2/3
Bisection Method
x f(x)
0 -261 2.35
3 2.65
4 -29.6
Iter # ! "
o**ent 1 0.5 1
contin"e 2 0.75 1
contin"e 3 0.75 0.875
contin"e 4 0.75 0.8125
contin"e 5 0.75 0.78125contin"e 6 0.75 0.765625
contin"e 7 0.75 0.757813
contin"e 8 0.75 0.753907
sto+ 9 0.75 0.751954
10 0.75 0.750977
11 0.75 0.750489
12 0.75 0.750245
13 0.75 0.750123
14 0.75 0.750062
15 0.75 0.750031
16 0.75 0.750016
17 0.75 0.750008
18 0.75 0.750004
19 0.75 0.750002
20 0.75 0.750001
)',2682. ,8 242. 3( 3 8 4
8/15/2019 ChE 12 Iteration
3/3
r f(!) f(r) $% f(!)&f(r) o**ent
0.75 -2.092188 1.419092 -2.96900612 contin"e
0.875 1.419092 2.099944 14.28571 2.980012655 contin"e
0.8125 1.419092 1.825287 7.692308 2.590249144 contin"e
0.78125 1.419092 1.640247 4 2.327660548contin"e
0.765625 1.419092 1.534394 2.040816 2.177445252 contin"e0.757813 1.419092 1.47795 1.030928 2.097347402 contin"e
0.753907 1.419092 1.448828 0.518101 2.056020431 contin"e
0.751954 1.419092 1.434039 0.259724 2.035032619 contin"e
0.750977 1.419092 1.426586 0.130031 2.024457105 contin"e
0.750489 1.419092 1.422844 0.065091 2.019146159 contin"e
0.750245 1.419092 1.420971 0.032523 2.01648828 contin"e
0.750123 1.419092 1.420034 0.016264 2.01515806 contin"e
0.750062 1.419092 1.419565 0.008133 2.014492629 sto+
0.750031 1.419092 1.41933 0.004066 2.014159834
0.750016 1.419092 1.419211 0.002067 2.013990688
0.750008 1.419092 1.419153 0.001 2.013908838
0.750004 1.419092 1.419123 0.000533 2.013865183
0.750002 1.419092 1.419107 0.000267 2.013843356
0.750001 1.419092 1.419099 0.000133 2.013832442
0.750001 1.419092 1.419096 6.67-005 2.013826985
40.6 59 5