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2. Let f C (R) such that f(xo) = f'(xo) = 0 for some ro R. Find the error term associated with the following difference scheme: 4/3f(xo +3h) — 6ƒ (xo + 2h) + 12ƒ (xo + h) h4 What smoothness conditions on f does your analysis require? f(4) (xo) ≈

2. Let f C (R) such that f(xo) = f'(xo) = 0 for some ro R. Find the error term associated with the following difference scheme: 4/3f(xo +3h) — 6ƒ (xo + 2h) + 12ƒ (xo + h) h4 What smoothness conditions on f does your analysis require? f(4) (xo) ≈

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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2. Let ƒ € C¹ (R) such that f(x) = f'(x) = 0 for some xo € R. Find the error term associated with the following difference scheme: 4/3f(xo +3h) - 6f(xo + 2h) + 12f(xo + h) h4 What smoothness conditions on f does your analysis require? f(4) (xo) ~
Transcribed Image Text:2. Let ƒ € C¹ (R) such that f(x) = f'(x) = 0 for some xo € R. Find the error term associated with the following difference scheme: 4/3f(xo +3h) - 6f(xo + 2h) + 12f(xo + h) h4 What smoothness conditions on f does your analysis require? f(4) (xo) ~
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