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Math Help - Laplace equation

  1. #1
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    Laplace equation

    Solve the two-dimensional Laplace equation Δu = 0 on the square D = {0 < x < 1, 0 < y < 1}, with boundary conditions

    u(x,0) = x, u(x,1) = 0, ux(0,y) = 0, ux(1,y) = y^2


    could anyone please help me to solve this problem?
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  2. #2
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    Quote Originally Posted by jin_nzzang View Post
    Solve the two-dimensional Laplace equation Δu = 0 on the square D = {0 < x < 1, 0 < y < 1}, with boundary conditions

    u(x,0) = x, u(x,1) = 0, ux(0,y) = 0, ux(1,y) = y^2


    could anyone please help me to solve this problem?
    Are you familar with the separation of variables technique?
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