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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)

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 u i+1, j+ U i, j+ 1+ U j−1, j⋆ U i, j−1 -4 ui, 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)
Transcribed Image Text:Use u i+1, j+ U i, j+ 1+ U j−1, j⋆ U i, j−1 -4 ui, 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)
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