Show that the following method is convergent, and determine it's global order of accuracy. 1 At Yn+1 = (Yn + Yn-1) +(4f(tn+1, Yn+1) – f(tn, Yn) + 3f(tn-1,Yn–1)) |
Show that the following method is convergent, and determine it's global order of accuracy. 1 At Yn+1 = (Yn + Yn-1) +(4f(tn+1, Yn+1) – f(tn, Yn) + 3f(tn-1,Yn–1)) |
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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Transcribed Image Text:Show that the following method is convergent, and determine it's global order of accuracy.
1
At
Yn+1
(Yn + Yn-1) +(4f(tn+1,Yn+1) – f(tn, Yn) + 3f(tn-1; Yn-1))
%D
4
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