Use of pdepe and Laplace Transform to Solve Heat Conduction Problems

computes solution to a heat conduction problem

In the present program three methods are used to solve a heat conduction problem. This problem is given in M. N. Özisik, Heat Conduction, Wiley, New York, 1980. We use pdepe, short times solution based on analytical inversion of a Laplace transform and finally a numerical solution based on the Fourier series approximation method of Laplace transform inversion. All results are plotted and exhibit perfect agreement.