Question: The function U(x, y) satisfies the equation au au + = -2, 2 at every point inside the square: -1 x 1 & -1

The function U(x, y) satisfies the equation au au + = -2,

The function U(x, y) satisfies the equation au au + = -2, 2 at every point inside the square: -1 x 1 & -1 y 1, and is zero on the boundary. (i). (ii). Calculate a finite difference solution using a square mesh of side 2 Assuming the discretization error is proportional to h calculate an improved value of U at the point (1,0).

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