3. Approximate the solution to the partial differential equation a²u ²u 5л 0x2 (x, y) + dyz (x, y) — 12.5m²u(x, y) = −257² sin 2 subject to the Dirichlet boundary condition u(x, y) = 0, -x sin 5π 2, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3.
Approximate the solution to the partial differential equation
2²u
a²u
əx²
-(x, y) +
5π
(x,y) - 12.57²u(x, y) = -257² sin x sin
5π
22 (1
2
23,
subject to the Dirichlet boundary condition
u(x, y) = 0,
0 < x, y < 0.4,
Transcribed Image Text:3. Approximate the solution to the partial differential equation 2²u a²u əx² -(x, y) + 5π (x,y) - 12.57²u(x, y) = -257² sin x sin 5π 22 (1 2 23, subject to the Dirichlet boundary condition u(x, y) = 0, 0 < x, y < 0.4,
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