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Use a computer as a computational aid. Use U/+1, + U₁₁+1+ U₁-1₁j + U₁₁-1 - 4u,j = 0 to approximate the solution of Laplace's equation at the interior points of the given region. Use symmetry when possible. (Assume uoo = u(0, 0).) U11 = U21 = U12 = 422 = u(0, y) = 108y2(1-y), u(1, y) = 0, 0

Use a computer as a computational aid. Use U/+1, + U₁₁+1+ U₁-1₁j + U₁₁-1 - 4u,j = 0 to approximate the solution of Laplace's equation at the interior points of the given region. Use symmetry when possible. (Assume uoo = u(0, 0).) U11 = U21 = U12 = 422 = u(0, y) = 108y2(1-y), u(1, y) = 0, 0

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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Use a computer as a computational aid. Use U/+1, + U₁₁+1+ U₁-1₁j + U₁₁-1 - 4u,j = 0 to approximate the solution of Laplace's equation at the interior points of the given region. Use symmetry when possible. (Assume uoo = u(0, 0).) U11 = U21 = U12 = 422 = u(0, y) = 108y2(1-y), u(1, y) = 0, 0 <y < 1 u(x, 0) = 0, u(x, 1) = 0, 0<x< 1 mesh size: h= 를
Transcribed Image Text:Use a computer as a computational aid. Use U/+1, + U₁₁+1+ U₁-1₁j + U₁₁-1 - 4u,j = 0 to approximate the solution of Laplace's equation at the interior points of the given region. Use symmetry when possible. (Assume uoo = u(0, 0).) U11 = U21 = U12 = 422 = u(0, y) = 108y2(1-y), u(1, y) = 0, 0 <y < 1 u(x, 0) = 0, u(x, 1) = 0, 0<x< 1 mesh size: h= 를
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