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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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Use a computer as a computational aid. Use Ui+1,j + Ui, j+1 + Ui-1, j + Ui, j-1 - 4u,j = 0 to approximate the solution of Laplace's equation at the interior points of the given region. Use symmetry when possible. (Assume U00 u(0, 0).) u(0, y) = 0, u(2, y) = 0, 0 < y < 1 u(x, 0)400, u(x, 1) = 0, 0 < x < 2 mesh size: h = 2 U11 = 421 = 431 =

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