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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" For Ax = Ax2 = 0.27, 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" For Ax = Ax2 = 0.27, what order of magnitude do you expect the error of this approximation to be?

Advanced Engineering Mathematics
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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You are using a central finite difference to approximate a second derivative, with the recursion formula Yi-1-2yi+Yi+1 y" For Ax = Ax2 = 0.27, 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" For Ax = Ax2 = 0.27, what order of magnitude do you expect the error of this approximation to be?
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