(1) Develop a first order method for approximating f′′(x) that uses data f(x− h),f(x),f(x+3h) only. (2) Implement your formula to compute f′′(0) for f(x) = cos(x). (3) Experiment with different values of h starting with h = 0.1 and numerically demonstrate the first order of convergence for your formula.

(1) Develop a first order method for approximating f′′(x) that uses data f(x− h),f(x),f(x+3h) only. (2) Implement your formula to compute f′′(0) for f(x) = cos(x). (3) Experiment with different values of h starting with h = 0.1 and numerically demonstrate the first order of convergence for your formula.

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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