International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 9, Pages 589-594

Determination of conductivity in a heat equation

Ping Wang1 and Kewang Zheng2

1Department of Mathematics, Pennsylvania State University, Schuylkill Haven 17972, PA, USA
2Department of Mathematics, Hebei University of Science and Technology, China

Received 1 February 2000

Copyright © 2000 Ping Wang and Kewang Zheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider the problem of determining the conductivity in a heat equation from overspecified non-smooth data. It is an ill-posed inverse problem. We apply a regularization approach to define and construct a stable approximate solution. We also conduct numerical simulation to demonstrate the accuracy of our approximation.