EXAMPLE: Solve the Laplace's equation on the following small grid with Ax = Ay using Jacobi Iteration with tol=5 × 10-³. Set starting values to zero for all interior points. U1,3 11,2 U1,4 8.9 8.4 7.2 6.1 U1.1 U2,4 8.9 U₂3 U₂.2 6.8 U2.1 U3,4 8.9 U33 U3.2 7.7 U3.1 U4,4 8.9 1143 U₁2 8.7 U4.1 U5,4 8.9 9.2 9.4 9.8 U5.1 U5,3 U5,2
EXAMPLE: Solve the Laplace's equation on the following small grid with Ax = Ay using Jacobi Iteration with tol=5 × 10-³. Set starting values to zero for all interior points. U1,3 11,2 U1,4 8.9 8.4 7.2 6.1 U1.1 U2,4 8.9 U₂3 U₂.2 6.8 U2.1 U3,4 8.9 U33 U3.2 7.7 U3.1 U4,4 8.9 1143 U₁2 8.7 U4.1 U5,4 8.9 9.2 9.4 9.8 U5.1 U5,3 U5,2
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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