Let f(x) = Using the centered 3-point formula for 1t derivatives: %3D (x-2) f'(0) 0.251255 using h = 0.1 f'(0) 0.250313 using h = 0.05 %3D Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: 0.249999 0.234256 199985 0.499998

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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Let f(x) =- Using the centered 3-point formula for 1st derivatives:
(x-2)
f'(0) A 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:
O 0.249999
0.234256
-1.99985
0.499998
Transcribed Image Text:Let f(x) =- Using the centered 3-point formula for 1st derivatives: (x-2) f'(0) A 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: O 0.249999 0.234256 -1.99985 0.499998
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