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Show that the Adam-Bashforth method 3 Yn+2 = Yn+1+hf(tn+1,Yn+ 1) – hf(tn,Un) has local truncation error O(h²).

Show that the Adam-Bashforth method 3 Yn+2 = Yn+1+hf(tn+1,Yn+ 1) – hf(tn,Un) has local truncation error O(h²).

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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1. Multi-step Methods: Local Truncation Error Show that the Adam-Bashforth method 3. Yn+2 = Yn+1+hf(tn+1, Yn+1) – ;hf(tn, Yn) has local truncation error O(h²).
Transcribed Image Text:1. Multi-step Methods: Local Truncation Error Show that the Adam-Bashforth method 3. Yn+2 = Yn+1+hf(tn+1, Yn+1) – ;hf(tn, Yn) has local truncation error O(h²).
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