Derive a finite difference approximation formula for the second derivative ƒ"(x;) using three - points X₁-1, X₁, and x₁+₁, where the spacing is such that_x; − x₁_₁ = 2h, and x₁+₁ − x₁ = h (non-uniform i+19 spacing). Hint: use the Taylor series expansions for f(x₁) and f(x₁+₁). Note the non-uniform spacing!
Derive a finite difference approximation formula for the second derivative ƒ"(x;) using three - points X₁-1, X₁, and x₁+₁, where the spacing is such that_x; − x₁_₁ = 2h, and x₁+₁ − x₁ = h (non-uniform i+19 spacing). Hint: use the Taylor series expansions for f(x₁) and f(x₁+₁). Note the non-uniform spacing!
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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