Example 11.7. Solve by relaxation method, the Laplace equationd²u+Əx²= 0, insidethe square bounded by the lines x = 0, x = 4, y = 0, y = 4, given that u = x²y² on the boundary.

Here we need to use the relaxation method to solve the given problem. Please find step by step…

Answered: ²u Example 11.7. Solve by relaxation…

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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²u Example 11.7. Solve by relaxation method, the Laplace equation d²u the square bounded by the lines x = 0, x = 4, y = 0, y = 4, given that u = x²y² on the boundary = 0, inside 0x2 Əy ²