Show that the following method is convergent, and determine it's global order of accuracy. 1 At (Yn + Yn-1) + (4f(tn+1, Yn+1) – f(tn, Yn) + 3f(tn-1,Yn-1)) Yn+1 = 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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From class Numerical Analysis

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
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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