Solve the initial boundary value problem where ut (x, t) = 4uxx (x, t), ux (0, t) = 0, ux (3, t) = 0, t> 0 u(x, 0) = (x), -{{ 0 ≤ x ≤ 3,t> 0 p(x):= 0≤x≤3 0 < x < 2 2≤x≤3
Solve the initial boundary value problem where ut (x, t) = 4uxx (x, t), ux (0, t) = 0, ux (3, t) = 0, t> 0 u(x, 0) = (x), -{{ 0 ≤ x ≤ 3,t> 0 p(x):= 0≤x≤3 0 < x < 2 2≤x≤3
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:Solve the initial boundary value problem
where
ut (x, t) = 4uxx (x, t),
ux (0, t) = 0,
ux (3, t) = 0, t> 0
u(x, 0) = (x),
-{{
0 ≤ x ≤ 3,t> 0
p(x):=
0≤x≤3
0 < x < 2
2≤x≤3
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