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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Originally Posted by jin_nzzang 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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