A. Shidfar - The Full Professor of Mathematics Department, Iran University of Science and Technology
Ali Zakeri - Assistant Professor, Department of Mathematics, KNTU University.

This paper considers a linear one dimensional inverse heat conduction problem with non constant thermal diffusivity and two unknown terms in a heated bar with unit length. By using the WKB method, the heat flux at the end of boundary and initial temperature will be approximated, numerically. By choosing a suitable parameter in WKB method the ill-posedness of solution will be improved. Finally, a numerical example will be presented.

Inverse heat conduction, Ill-posed problem, Finite difference method