ChE 12 Iteration

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  • 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

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    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

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    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