You are using a central finite difference to approximate a second derivative, with the recursion formula Yi-1-2yi+Yi+1 y" ≈ Ax2 For Ax = 0.22, what order of magnitude do you expect the error of this approximation to be?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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You are using a central finite difference to approximate a second derivative, with the recursion formula
Yi-1-2yi+Yi+1
y" ≈
Ax2
For Ax = 0.22, what order of magnitude do you expect the error of this approximation to be?
Transcribed Image Text:You are using a central finite difference to approximate a second derivative, with the recursion formula Yi-1-2yi+Yi+1 y" ≈ Ax2 For Ax = 0.22, what order of magnitude do you expect the error of this approximation to be?
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