(a) Consider the the figure below: two-dimensional Laplace equation in a square domain, as illustrated in...

 

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(a) Consider the the figure below: two-dimensional Laplace equation in a square domain, as illustrated in aU au ax + with the boundary conditions given by: U(x,0) = 0, ay U(0, y) = 2y U (0, y) = 2y, = 0. 0 (a) Consider the the figure below: two-dimensional Laplace equation in a square domain, as illustrated in aU au ax + with the boundary conditions given by: U(x,0) = 0, ay U(0, y) = 2y U (0, y) = 2y, = 0. 0

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1 Discretization Divide the square domain into a grid with 21 nodes in the xdirection and 11 nodes in the ydirection Assign indices to the nodes i j w... View the full answer