Error Approximation Matlab Programme

Ramandeep Kaur

2021 5 23

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Implement a difference method for the numerical approximation of the solution of the following the initial/boundary value problem:

ut(t, x) = uxx(t, x) for all t ∈ [0, Tf ] and x ∈ [0, 1],

u(0, x) = u0(x), for all x ∈ [0, 1],

u(t, 0) = u(t, 1) = 0, for all t ∈ [0, Tf ].

This is an example question from my lecture notes but I can't really figure out the code for this because i am not sure what the exact solution would like for this IVP. Can anyone please help me with. I have got a practical test of matlab in class and the questions will be related to this. So can anyone pls help asap.