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
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![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,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2eb1c912-96d5-4ee6-82a8-d64d62c01110%2F897918e2-a5b0-4ffb-85cb-eda0bbdcc119%2Filvxamj_processed.jpeg&w=3840&q=75)
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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