[1] The forward-difference formula can be expressed as h h2 f'(xo) = [f (xo+ h) – f(xo)] f"(xo) f" (x0) + O(h³). 6 - Use extrapolation to derive an O(h³) formula for f'(xo).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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[1] The forward-difference formula can be expressed as
h
h?
f'(wo) = Lf (#o+ h) – f(x0)] –
f"(xo)
-f" (x0) + O(h³).
6.
-
Use extrapolation to derive an O(h³) formula for f'(xo).
Transcribed Image Text:[1] The forward-difference formula can be expressed as h h? f'(wo) = Lf (#o+ h) – f(x0)] – f"(xo) -f" (x0) + O(h³). 6. - Use extrapolation to derive an O(h³) formula for f'(xo).
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