1. Solve the following diffusion equation: an (3% E@, 00, under the initial condition u(:r, 0) = 0.1x 0.01m2, and the boundary conditions u(0,t) = u(10, t) = 0 by using the explicit nite difference formula: At m+1 m m m u osu + ( (1)11\" + asun_1, oz A332 n n+1 with mesh length At : %, ALE : % 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, 5*). Your result should be rounded to 4 decimal digits