1. Multi-step Methods: Local Truncation ErrorShow that the Adam-Bashforth method3.Yn+2 = Yn+1+hf(tn+1, Yn+1) – ;hf(tn, Yn)has local truncation error O(h²).

We have to show that the Adam-Bashforth method yn+2=yn+1+32hftn+1, yn+1-12hftn, yn…

Answered: Show that the Adam-Bashforth method 3…

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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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).