(a) Develop a first-order method for approximating f" (x) which uses the data f (x - 3h), f (x) and f (r+ h). (b) Use the three-point centred difference formula for the second derivative to ap- proximate f" (1), where f (x) = x-2, for h = 0.1, 0.01 and 0.001. Furthermore, determine the approximation error. Use an accuracy of 6 decimal digits for the final answers of the derivative values only.
(a) Develop a first-order method for approximating f" (x) which uses the data f (x - 3h), f (x) and f (r+ h). (b) Use the three-point centred difference formula for the second derivative to ap- proximate f" (1), where f (x) = x-2, for h = 0.1, 0.01 and 0.001. Furthermore, determine the approximation error. Use an accuracy of 6 decimal digits for the final answers of the derivative values only.
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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