(3) Consider the following data generated from a function y = f(x) x 0 0.15 0.30 0.45 0.60 y 1.00 0.91 0.70 0.40 0.09 Find the best possible finite difference estimate for the derivative f'(0.3). Give a quantitative estimate of the remaining discretisation error. What would be needed to improve your estimate?
(3) Consider the following data generated from a function y = f(x) x 0 0.15 0.30 0.45 0.60 y 1.00 0.91 0.70 0.40 0.09 Find the best possible finite difference estimate for the derivative f'(0.3). Give a quantitative estimate of the remaining discretisation error. What would be needed to improve your estimate?
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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