1. Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h) to estimate the first derivative of HE f(x) - 1+cos(2) at z=0.25 using a step size h = 0.125, Compute the percent relative true error for each approximation. (Note: Round off your approximations to 9 decimal places. Percentage errors must be rounded-off to 3 decimal places.) Interpret your results.
1. Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h) to estimate the first derivative of HE f(x) - 1+cos(2) at z=0.25 using a step size h = 0.125, Compute the percent relative true error for each approximation. (Note: Round off your approximations to 9 decimal places. Percentage errors must be rounded-off to 3 decimal places.) Interpret your results.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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