h Formula A Formula B Formula C .500000 5.764e-01 6.670e-02 9.329e-03 .250000 3.096e-01 1.683e-02 3.565e-04 .125000 1.596e-01 4.218e-03 5.181e-05 .062500 8.093e-02 1.055e-03 4.116e-06 .031250 4.074e-02 2.638e-04 2.836e-07 .015625 2.044e-02 6.595e-05 1.853e-08 .007812 1.024e-02 1.649e-05 1.183e-09 .003906 5.122e-03 4.122e-06 7.513e-11 en table lists the absolute errors from three finite difference approximations of the derivative f'(x). The errors ence of decreasing values of the grid spacing h. order of accuracy of Formula A is 1 prder of accuracy of Formula B is
h Formula A Formula B Formula C .500000 5.764e-01 6.670e-02 9.329e-03 .250000 3.096e-01 1.683e-02 3.565e-04 .125000 1.596e-01 4.218e-03 5.181e-05 .062500 8.093e-02 1.055e-03 4.116e-06 .031250 4.074e-02 2.638e-04 2.836e-07 .015625 2.044e-02 6.595e-05 1.853e-08 .007812 1.024e-02 1.649e-05 1.183e-09 .003906 5.122e-03 4.122e-06 7.513e-11 en table lists the absolute errors from three finite difference approximations of the derivative f'(x). The errors ence of decreasing values of the grid spacing h. order of accuracy of Formula A is 1 prder of accuracy of Formula B is
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please take log or show step by step calculation to get the answer. Don'nt explain things with word. I want calculation to get the answer. Not assuming things.
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Transcribed Image Text:h
Formula A
Formula B
Formula C
0.500000
5.764e-01
6.670e-02
9.329e-03
0.250000
3.096e-01
1.683e-02
3.565e-04
0.125000
1.596e-01
4.218e-03
5.181e-05
0.062500
8.093e-02
1.055e-03
4.116e-06
0.031250
4.074e-02
2.638e-04
2.836e-07
0.015625
2.044e-02
6.595e-05
1.853e-08
0.007812
1.024e-02
1.649e-05
1.183e-09
0.003906
5.122e-03
4.122e-06
7.513e-11
The given table lists the absolute errors from three finite difference approximations of the derivative f'(x). The errors are computed for
a sequence of decreasing values of the grid spacing h.
1. The order of accuracy of Formula A is
1
2. The order of accuracy of Formula B is
3. The order of accuracy of Formula C is
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