Consider the following differential equation a?u a?u + ax2 ay2 = x- 3 where x E...

 

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Consider the following differential equation a?u a?u + ax2 ay2 = x- 3 where x E (0,6); y e (0,6) and the boundary conditions are ди axl x=0 = 1; u(6, y) = 1; and u(x, 0) u(x,6) = 3 Solve numerically using finite difference method with mesh size of 2 in both x and y directions. Use central difference to approximate the derivative boundary condition. Consider the following differential equation a?u a?u + ax2 ay2 = x- 3 where x E (0,6); y e (0,6) and the boundary conditions are ди axl x=0 = 1; u(6, y) = 1; and u(x, 0) u(x,6) = 3 Solve numerically using finite difference method with mesh size of 2 in both x and y directions. Use central difference to approximate the derivative boundary condition.