Solve the heat conduction problem: δu/δt = k δ²u/δx² using NUMERICAL METHOD. Subject to the boundary condition u(0,t) = 0,

Question

Solve the heat conduction problem: δu/δt = k δ²u/δx² 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.

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