Using Galerkin method solve this PDE. 3.Approximate the solution to the partial differential equation2²ua²uəx²-(x, y) +5π(x,y) - 12.57²u(x, y) = -257² sin x sin5π22 (1223,subject to the Dirichlet boundary conditionu(x, y) = 0,0 < x, y < 0.4,

To find the solution to the partial differential equation,Subject to the Dirichlet boundary…

Answered: 3. Approximate the solution to the…

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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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,