3. Approximate the solution to the partial differential equation a²u ax²(x, y) + 2²u дуг subject to the Dirichlet boundary condition 5π (x,y) — 12.5m²u(x, y) = -257² sin 2 u(x, y) = 0, -x sin 5π 2, 0 < x, y < 0.4,
3. Approximate the solution to the partial differential equation a²u ax²(x, y) + 2²u дуг subject to the Dirichlet boundary condition 5π (x,y) — 12.5m²u(x, y) = -257² sin 2 u(x, y) = 0, -x sin 5π 2, 0 < x, y < 0.4,
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
Using Galerkin method solve this PDE.
![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%2Fc7dd49ed-e178-451d-b91b-2c49319aeb37%2F37e77194-dbc9-4e70-91bd-85a50126b1a0%2Fcrtpoza_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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