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Advanced Math Consider the following problem: a?u a?u + əx² ™ ay² = -2, 0 < x < 1,0 < y < 1 u(0, y) = 0,u(1, y) = sin(ry),0 < y <1 u(x,0) = u(x, 1) = x(1 – x) ,0 < x<1 Ay = Ax = 1/3. Propose a way to find the solutions for the grid points to solve the above problem

Advanced Math Consider the following problem: a?u a?u + əx² ™ ay² = -2, 0 < x < 1,0 < y < 1 u(0, y) = 0,u(1, y) = sin(ry),0 < y <1 u(x,0) = u(x, 1) = x(1 – x) ,0 < x<1 Ay = Ax = 1/3. Propose a way to find the solutions for the grid points to solve the above problem

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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Advanced Math Consider the following problem: a?u a?u + əx² ™ ay² = -2, 0 < x< 1,0 < y < 1 u(0, y) = 0,u(1, y) = sin(ry),0 < y <1 u(x,0) = u(x, 1) = x(1 – x) ,0 < x<1 Ay = Ax = 1/3. Propose a way to find the solutions for the grid points to solve the above problem
Transcribed Image Text:Advanced Math Consider the following problem: a?u a?u + əx² ™ ay² = -2, 0 < x< 1,0 < y < 1 u(0, y) = 0,u(1, y) = sin(ry),0 < y <1 u(x,0) = u(x, 1) = x(1 – x) ,0 < x<1 Ay = Ax = 1/3. Propose a way to find the solutions for the grid points to solve the above problem
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