Suppose that the following 4-stage explicit Runge-Kutta method is applied to the equation y' = y: Prove that - 12 -2 1 3 2 001 1 6 1 1 1 3 3 6 n hk --ÉT- Yn = k! _k=0 Yo.
Suppose that the following 4-stage explicit Runge-Kutta method is applied to the equation y' = y: Prove that - 12 -2 1 3 2 001 1 6 1 1 1 3 3 6 n hk --ÉT- Yn = k! _k=0 Yo.
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:Suppose that the following 4-stage explicit Runge-Kutta method is applied
to the equation y' = y:
Prove that
Yn
0
12 12 O
11
01/
100 1
=
1
6
1 1 1
3
3 6
IM₂
hk
k!
n
Yo-
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