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Exercise 3: solve the Laplace's equation with the following boundary conditions. Set Ax= Ay = 0.2 and tol = 0.01. Uxx + Uyy = 0; 0≤x≤1, 0≤ y ≤ 1 u(x,0) = 20; u(x, 1) = 180; u(0,y) = 80 u(1, y) = 0; 0≤x≤ 1, 0≤x≤ 1, 0 ≤ y ≤1 0 ≤ y ≤ 1,

Exercise 3: solve the Laplace's equation with the following boundary conditions. Set Ax= Ay = 0.2 and tol = 0.01. Uxx + Uyy = 0; 0≤x≤1, 0≤ y ≤ 1 u(x,0) = 20; u(x, 1) = 180; u(0,y) = 80 u(1, y) = 0; 0≤x≤ 1, 0≤x≤ 1, 0 ≤ y ≤1 0 ≤ y ≤ 1,

Advanced Engineering Mathematics
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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Exercise 3: solve the Laplace's equation with the following boundary conditions. Set Ax = Ay = 0.2 and tol = 0.01. Uxx + Uyy = 0; 0≤x≤1, 0≤ y ≤1 u(x,0) = 20; u(x, 1) = 180; u(0, y) = 80 u(1, y) = 0; 0≤x≤ 1, 0≤x≤ 1, 0 ≤ y ≤1 0 ≤ y ≤ 1,
Transcribed Image Text:Exercise 3: solve the Laplace's equation with the following boundary conditions. Set Ax = Ay = 0.2 and tol = 0.01. Uxx + Uyy = 0; 0≤x≤1, 0≤ y ≤1 u(x,0) = 20; u(x, 1) = 180; u(0, y) = 80 u(1, y) = 0; 0≤x≤ 1, 0≤x≤ 1, 0 ≤ y ≤1 0 ≤ y ≤ 1,
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