Let f (x) = Using the centered 3-point formula for 1st derivatives: (x+1)= f'(0) -0.502509 using h = 0.1 f'(0) x -0.500626 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: -0.499998 O 0.234256 0.249999 -1.99985

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) =
(r+12: Using the centered 3-point formula for 1st derivatives:
f'(0) x -0.502509 using h = 0.1
f'(0) -0.500626 using h = 0.05
Applying Richardson's extrapolation on the above values, we get a better approximation of
f'(0) which is:
-0.499998
0.234256
0.249999
-1.99985
Transcribed Image Text:Let f (x) = (r+12: Using the centered 3-point formula for 1st derivatives: f'(0) x -0.502509 using h = 0.1 f'(0) -0.500626 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: -0.499998 0.234256 0.249999 -1.99985
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