The PDE is
Problem: given a bar of length \(L\) and initial conditions \(T\left ( x,0\right ) =\sin \left ( \pi x\right ) \) and boundary conditions \(T\left ( 0,t\right ) =0,T\left ( L,t\right ) =0\), solve the above PDE and plot the solution on 3D.
Use bar length of \(4\) and \(k=0.5\) and show the solution for \(1\) second.