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f(x + 2h) – 4f(x + h) + 6f (x) – 4f(x – h) + f(x – 2h) | | f(4)(x) = + O(h?) h4

f(x + 2h) – 4f(x + h) + 6f (x) – 4f(x – h) + f(x – 2h) | | f(4)(x) = + O(h?) h4

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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Question

Explain where you get the following fourth derivative approximation :

f(x + 2h) – 4f (x + h) + 6f (x) – 4f(x – h) + f (x – 2h) f( (x) + 0(h²) h4
Transcribed Image Text:f(x + 2h) – 4f (x + h) + 6f (x) – 4f(x – h) + f (x – 2h) f( (x) + 0(h²) h4
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