Use u j+1, j+ Ui, j+ 1 + U j−1, j⋆ U ¡‚ j−1 −4ui,j-0 to approximate the solution of Laplace's equation at the interior points of the given region. Use symmetry when possible. (Assume u 00= u(0, 0)., u(0, y) = 0, u(2, y) = 100y, 0< y<3 u( x, 0) = 0, u( x, 3) = 100x, 0< x < 2 mesh size: h=1 What is u(1,1)? (Insert your answer here, round your answer to closest tenth)
Use u j+1, j+ Ui, j+ 1 + U j−1, j⋆ U ¡‚ j−1 −4ui,j-0 to approximate the solution of Laplace's equation at the interior points of the given region. Use symmetry when possible. (Assume u 00= u(0, 0)., u(0, y) = 0, u(2, y) = 100y, 0< y<3 u( x, 0) = 0, u( x, 3) = 100x, 0< x < 2 mesh size: h=1 What is u(1,1)? (Insert your answer here, round your answer to closest tenth)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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