. Solve the following diffusion equation: Bu 8% = 1 t at 8532' 00, under the initial condition u(33, 0) = 0.1m 0.01m2, and the boundary conditions u(0,t) = u(10, t) = 0 by using the explicit nite difference formula: 7 At _ A332 m+1 7 m m m an ocun+1 | (1 2a)un | aun_1, oz with mesh length At = %, A1? = % The superscript m denotes the mth time iterated solution and the subscript n denotes the nth spatial solution. Compute the approximation to the solution u(:c, t) at (3 1). Your result should be rounded = 2 to 4 decimal digits