Fitting an experimental data to the finite difference approximated solution

Hi, I know the finite difference approximation is well established. However, I have one question. I am working on a simple system where I measured temperature at the boundary of that particular system. Say, left boundary is maintained at a constant temperature and right one has no flux condition. I have experimental values of temperature over the time period at right boundary. I am following FTCS method and I am trying to get the profile at the boundary by changing thermal conductivity value. I am just wondering if anyone can help me out to get approximated thermal conductivity using experimental data.

Thanks

Answer 1

[Torsten]

Use MATLAB's pdepe to solve the heat equation for different thermal conductivities and see which curve fits best your experimental data.

Best wishes

Torsten.