Exercise 3: Solve the following PDE numerically using the 5-point scheme, N=5 and M=5:: Uxx + Uyy = 0; u(x, 0) = sin (rX); u(x, 1) = 0; u(0, y) = u(1, y) = 0; 0≤x≤1, 0≤ y ≤1 0≤x≤ 1, 0≤x≤ 1, 0 ≤ y ≤ 1,
Exercise 3: Solve the following PDE numerically using the 5-point scheme, N=5 and M=5:: Uxx + Uyy = 0; u(x, 0) = sin (rX); u(x, 1) = 0; u(0, y) = u(1, y) = 0; 0≤x≤1, 0≤ y ≤1 0≤x≤ 1, 0≤x≤ 1, 0 ≤ y ≤ 1,
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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Transcribed Image Text:Exercise 3: Solve the following PDE numerically using the
5-point scheme, N=5 and M=5::
Uxx + Uyy = 0;
u(x, 0) = sin (nx);
u(x, 1) = 0;
u(0, y) = u(1, y) = 0;
0≤x≤1, 0≤ y ≤1
0≤x≤ 1,
0≤x≤ 1,
0 ≤ y ≤ 1,
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