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What is the order of accuracy of the approximation, b? What is the leading truncation error factor, a? What is the leading derivative in the truncation error,c? Show all work.

What is the order of accuracy of the approximation, b? What is the leading truncation error factor, a? What is the leading derivative in the truncation error,c? Show all work.

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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What is the order of accuracy of the approximation, b? What is the leading truncation error factor, a? What is the leading derivative in the truncation error,c? Show all work. 

 

In a finite difference scheme, we are approximating the third derivative as follows: 2³ u მ 3 Ui+3-3 Ui+2+3 Ui+1-Uj (A x) ³ The order of accuracy of the approximation, b, is + a aux¹ +H.O.T. д хс
Transcribed Image Text:In a finite difference scheme, we are approximating the third derivative as follows: 2³ u მ 3 Ui+3-3 Ui+2+3 Ui+1-Uj (A x) ³ The order of accuracy of the approximation, b, is + a aux¹ +H.O.T. д хс
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