Solve the Poisson equation U +u, =-5xy the on square {(x, y):0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 1RQ
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Solve
the Poisson
equation
U +u, =-5xy
the
on
square
{(x, y):0<xs1,0<y<l} by the finite difference method using the given
boundary conditions with h=k=1/3 . Solve the resulting system of linear
equations using 3 iterations of Jacobi method.
u(х,0) %— х', и(х,1) %1, и(, у) %3 1, и(0, у) — у.
Transcribed Image Text:Solve the Poisson equation U +u, =-5xy the on square {(x, y):0<xs1,0<y<l} by the finite difference method using the given boundary conditions with h=k=1/3 . Solve the resulting system of linear equations using 3 iterations of Jacobi method. u(х,0) %— х', и(х,1) %1, и(, у) %3 1, и(0, у) — у.
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