Solve the heat conduction problem: ?u/?t = k ?u/?x using NUMERICAL METHOD.Subject to the boundary condition u(0,t) = 0, u(2,t) = 3t + 2 and

Solve the heat conduction problem: ?u/?t = k ?²u/?x² using NUMERICAL METHOD.Subject to the boundary condition u(0,t) = 0, u(2,t) = 3t + 2 and initial condition u(x,0) = x²/2. Given that, ?x = 0.25, ?t = 0.1, k = 0.1 and t ranges from 0 to 1.