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A2 Bisection Method

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9 views3 pages

A2 Bisection Method

Uploaded by

Ryan Sugabo Budiongan
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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EM 316N: Numerical Methods

A2: Bisection Method

Subject: ________________ Name: _______________________________________ Date: ______________

DIRECTION: Supply what is required.

1. Use bisection to find the root of f(x) = x^3 − 10x^2 + 5 = 0that lies in the interval [0.6, 0.8]. If the true value
of x = 0.7346035078, find the approximate errors in all the iterations.
n an bn pn f(an) f(bn) f(pn) εa

1 0.6 0.8 0.7 1.616 -0.888 0.443 ----------

2 0.7 0.8 0.75 0.443 -0.888 -0.203125

3 0.7 0.75 0.725 0.443 -0.203125 0.124828125

4 0.725 0.75 0.7375 0.124828125 -0.203125 -0.0379316406

5 -
0.725 0.7375 0.73125 0.124828125 0.0437531738
0.0379316406

6 -
0.73125 0.7375 0.734375 0.0437531738 0.002986908
0.0379316406

7 -
0.734375 0.7375 0.7359375 0.002986908 -0.0174533424
0.0379316406
8 -
0.734375 0.7359375 0.73515625 0.002986908 -0.0072284598
0.0174533424

9 -
0.734375 0.73515625 0.734765625 0.002986908 -0.0021195864
0.0072284598

10 -
0.734375 0.734765625 0.7345703125 0.002986908 0.0004339582
0.0021195864

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