A Example 11.3. Given the values of u(x, y) on the boundary of the square in the Fig.11.7, evaluate the function u(x, y) satisfying the Laplace equation Vu = 0 at the pivotal pointsof this figure by(a) Jacobi's method.(b) Gauss-Seidal method.

Here we need to use a) Jacobi's Method b) Gauss-Seidal Method

Answered: Example 11.3. Given the values of u(x,…

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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Example 11.3. Given the values of u(x, y) on the boundary of. the square in the Fig. 11.7, evaluate the function u(x, y) satisfying the Laplace equation V²u = 0 at the pivotal points of this figure by (a) Jacobi's method. (b) Gauss-Seidal method.