ди 0, у, 1) 3D E(1, у, 1) %3D 0, dx ди
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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Question
Transcribed Image Text:Solve the problem for a heat equation on a square plate of
length 1, with no flux boundary condition in the right and top
sides:
ди
= k
dt
)
+
0 < x < 1,
0 < y < 1,
t > 0,
dx2
ду?
ди
u(0, у, t):
(1, y, t) = 0,
dx
ди
и(х, 0, t) —
-(х, 1, t) %3D 0,
ду
u(x, y, 0) = 2 sin(x) sin(-ry).
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