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?

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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Question

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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