Let f(x) = . Using the centered 3-point formula for 1" derivatives: f'(0) * -2.04061 using h = 0.1 f'(0) * -2.01004 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation o f'(0) which is: 0.234256 O -1.99985 O -0.499998 O 0.249999

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 1“ derivatives:
(a+1)
f'(0) × -2.04061 using h = 0.1
f'(0) * -2.01004 ustng h = 0.05
Applying Richardson's extrapolation on the above values, we get a better approximation of
f'(0) which is:
0.234256
O -1.99985
O -0.499998
0.249999
Transcribed Image Text:Let f(x) = Using the centered 3-point formula for 1“ derivatives: (a+1) f'(0) × -2.04061 using h = 0.1 f'(0) * -2.01004 ustng h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is: 0.234256 O -1.99985 O -0.499998 0.249999
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