Let f(x) = Using the centered 3-point formula for 1st derivatives: %3D (x-2): f'(0) & 0.251255 using h = 0.1 f'(0) × 0.250313 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is:

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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Let f(x) =
Using the centered 3-point formula for 1st derivatives:
%3D
(a-2)2
f'(0) x 0.251255 using h = 0.1
f'(0) x 0.250313 using h = 0.05
Applying Richardson's extrapolation on the above values, we get a better approximation of
f'(0) which is:
Transcribed Image Text:Let f(x) = Using the centered 3-point formula for 1st derivatives: %3D (a-2)2 f'(0) x 0.251255 using h = 0.1 f'(0) x 0.250313 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is:
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