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1. A function is given by f(x) = 6e-52. Now answer the following: (a) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the central difference method up to 6 significant figures. (b) (c) (d) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the forward difference method up to 6 significant figures. Calculate the truncation error of f(x) at xo = 2 using h = 1, 0.1, 0.01, 0.0001 in the above men- tioned two methods. Compute Dat xo = 0.2 using Richardson extrapolation method up to 6 significant figures and calculate the truncation error.

1. A function is given by f(x) = 6e-52. Now answer the following: (a) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the central difference method up to 6 significant figures. (b) (c) (d) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the forward difference method up to 6 significant figures. Calculate the truncation error of f(x) at xo = 2 using h = 1, 0.1, 0.01, 0.0001 in the above men- tioned two methods. Compute Dat xo = 0.2 using Richardson extrapolation method up to 6 significant figures and calculate the truncation error.

Advanced Engineering Mathematics
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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1. A function is given by f(x) = 6e-52. Now answer the following: (a) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the central difference method up to 6 significant figures. (b) (c) (d) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the forward difference method up to 6 significant figures. Calculate the truncation error of f(x) at xo = 2 using h = 1, 0.1, 0.01, 0.0001 in the above men- tioned two methods. Compute Dat xo = 0.2 using Richardson extrapolation method up to 6 significant figures and calculate the truncation error.
Transcribed Image Text:1. A function is given by f(x) = 6e-52. Now answer the following: (a) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the central difference method up to 6 significant figures. (b) (c) (d) Approximate the derivative of f(x) at xo = 0.2 with step size h = 0.5 using the forward difference method up to 6 significant figures. Calculate the truncation error of f(x) at xo = 2 using h = 1, 0.1, 0.01, 0.0001 in the above men- tioned two methods. Compute Dat xo = 0.2 using Richardson extrapolation method up to 6 significant figures and calculate the truncation error.
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