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categoryرياضيات schoolبكالوريوس event_available2026-07-13

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5. Solve the Laplace equation 32+02 მ2 მ2 მ2 = 0 in the right-angled triangle bounded by the x-axis, the vertical line x = 1 and the diagonal line y = x using a finite difference scheme consisting of three interior points with equal width. Suppose the boundary values are u(1, y): = 1 - 3y, u(x, 0) = 3x and u(x, y) = 3x+6y on the diagonal line y = x. Solve for the values of u(x, y) at the three interior points. 0.8 0.6 0.4 0.2- 0 0.2 0.4 0.6 0.8

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