Question: 4. Consider the boundary value problem in the region shown below. You are required to solve the Laplace's equation. Boundary conditions for the problem

4. Consider the boundary value problem in the region shown below. You are required to solve the Laplace's equation. Boundary conditions for the problem are given by the equation u = x-y. Use finite-difference method to obtain values at points 1, 2 and 3 shown in figure below. Step sizes Ax = Ay corners/boundaries). 2 (except for non-rectangular (2, 5) (0, 4) 2 (7,0)
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