
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Sub: Numerical Method
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Transcribed Image Text:2. CO3 Given is a function f(x) = e** sin(x)
a) Find the first derivative of the function using forward differentiation for x =2 with step size h
= 0.25 and h = 0.125 and calculate the truncation error for both h.
b) Approximate the derivative of f(x) at x = 1 with step size h = 0.25 and h = 0.125 using the
central difference method up to 5 significant figures.
c) Compute D¹0.25 at x = 1 using Richardson extrapolation method up to 5 significant figures.
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