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Finite difference method

  1. Sep 8, 2009 #1
    How do I use the finite difference method with M = N = 20 to obtain a plot of the solution of

    [tex]\nabla[/tex]2u = 1, 0 < x < 1, 0 < y < 1,
    u(x,0) = x(1-x), u(x,1) = x(1-x), 0 [tex]\leq[/tex] y [tex]\leq[/tex] 1,
    u(0,y) = 0, u(1,y) = 0, 0 [tex]\leq[/tex] y [tex]\leq[/tex] 1.
     
  2. jcsd
  3. Sep 9, 2009 #2

    HallsofIvy

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    Okay, what have you done on this? In particular, what would [itex]\nabla^2 u= 1[/math] look like in terms of this mesh?
     
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