International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 9, Pages 589-594
doi:10.1155/S0161171200004713
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
Abstract
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.