Use a computer as a computational aid. Use U₁+1,j + Ujj+1 + Uj−1, j + Uj,j−1 − 4u₁₁j = 0 to approximate the solution of Laplace's equation at the interior points of the given region. Use symmetry when possible. (Assume 40o = u(0, 0).) U11 = U21 = U31 = u(0, y) = 0, u(2, y) = 0, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
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Use a computer as a computational aid.
Use U¡+1,j + Uj,j+1 + Uj−1,j + Uj, j−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 400 = u(0, 0).)
U11 =
421
=
431 =
eBook
u(0, y) = 0, u(2, y) = 0, 0 <y<1
u(x, 0) = 200, u(x, 1) = 0, 0<x<2
1/1/201
mesh size: h =
Transcribed Image Text:Use a computer as a computational aid. Use U¡+1,j + Uj,j+1 + Uj−1,j + Uj, j−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 400 = u(0, 0).) U11 = 421 = 431 = eBook u(0, y) = 0, u(2, y) = 0, 0 <y<1 u(x, 0) = 200, u(x, 1) = 0, 0<x<2 1/1/201 mesh size: h =
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