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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7140e3e-b877-4eb0-97a8-e066e434192f%2F0f1a6357-de3b-4504-a595-5819bdca8138%2Fbd9ftir_processed.png&w=3840&q=75)
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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