The boundary conditions for a Laplace equation uxx +uyy = 0 in a rectangular homogeneous metal sheet are: u(x,0) = 10 u(x,10) = 20 ; 0

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The boundary conditions for a Laplace equation uxx +uyy = 0 in a rectangular
homogeneous metal sheet are:
u(x,0) = 10 u(x,10) = 20
; 0<x< 20;
u(0, y) = 0
u(20, y) = 100 ; 0<y<10
Use Ax = Ay = 5, find approximate solution to the equations where u(x,y)
represents the temperature at the internal mesh points.
Transcribed Image Text:The boundary conditions for a Laplace equation uxx +uyy = 0 in a rectangular homogeneous metal sheet are: u(x,0) = 10 u(x,10) = 20 ; 0<x< 20; u(0, y) = 0 u(20, y) = 100 ; 0<y<10 Use Ax = Ay = 5, find approximate solution to the equations where u(x,y) represents the temperature at the internal mesh points.
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