4.4 Consider the multistep method Un-1-Un-2 2+(3fa-2-fn-3) for the initial-value problem if(t, u(t)), 0≤t≤ 1, u(0)=a where a is a constant. Determine whether or not the method (1) converges.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 20EQ
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4.4 Consider the multistep method
Un-1 = Un-2+(3fn-2-fn-3)
for the initial-value problem
u=f(t, u(t)), 0≤t≤1, u(0) = a
where a is a constant. Determine whether or not the method (1)
converges.
Transcribed Image Text:4.4 Consider the multistep method Un-1 = Un-2+(3fn-2-fn-3) for the initial-value problem u=f(t, u(t)), 0≤t≤1, u(0) = a where a is a constant. Determine whether or not the method (1) converges.
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