Solve Laplace's equation in the square 0 < x < ,0 < y < a with the boundary conditions given below = 0, 0 < x < n, 0 < y < n, t > 0, + dy? u(0, у) %3D1, u (л, у) %3D 0, и(х, 0) 3D 0, dx2 и(х, л) — 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solve Laplace's equation in the square 0 < x < n,0< y < n with the boundary conditions given below
= 0,
ду?
0 < x < T,
0 < y < n,
t > 0,
u(0, y) = 1,
υ (π, y) -0,
и(х, 0) %3D 0,
и(х, л) — 0.
Transcribed Image Text:Solve Laplace's equation in the square 0 < x < n,0< y < n with the boundary conditions given below = 0, ду? 0 < x < T, 0 < y < n, t > 0, u(0, y) = 1, υ (π, y) -0, и(х, 0) %3D 0, и(х, л) — 0.
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