Consider the PDE uxx+uyy =0 in the unit square {0 x 1, 0 y
Chapter 8, Problem 5(choose chapter or problem)
Consider the PDE uxx+uyy =0 in the unit square {0 x 1, 0 y 1}with the boundary conditions: u =0 on x =0,onx =1,andon y =1 u =324x2(1x) on y =0. Calculate the approximation to the solution using nite differences (2) with the very coarse grid x = y = 1 3. (Hint: You may use Figure 2 if you wish.)
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