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ƒ'''' (x;): = f (x₁+2) — 4f(x₁+1) + 6ƒ (x;) — 4ƒ (x;_₁) + f(x;_₂) - - hª

ƒ'''' (x;): = f (x₁+2) — 4f(x₁+1) + 6ƒ (x;) — 4ƒ (x;_₁) + f(x;_₂) - - hª

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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Use central difference to show that the following equation holds.

ƒ''' (x;) = f(x₁+₂) — 4f(x₁+1) + 6ƒ (x;) — 4ƒ (x;_₁) + f(x;_₂) - - hª
Transcribed Image Text:ƒ''' (x;) = f(x₁+₂) — 4f(x₁+1) + 6ƒ (x;) — 4ƒ (x;_₁) + f(x;_₂) - - hª
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