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Derive a finite difference approximation formula for f"(x) using three points x;-1, x;, and x+1, where the spacing is such that 2h X;-Xj-1 = 2h and Xi+1-X; = h . Xj+1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 52E

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Numerical Methods Lecture:

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Derive a finite difference approximation formula for f"(x;)
using three points x-1, x;, and x;+1, where the spacing is such that
X;-X;-1 = 2h and x;+1-x; = h .
7.
2h
h
Xj+1

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