Fourth Mississippi State Conference on Differential Equations and Computational Simulations,
Electron. J. Diff. Eqns., Conf. 03, 1999, pp. 119-125.

Determination of the source/sink term in a heat equation

Ping Wang & Kewang Zheng

In this work, we consider the problem of determining an unknown parameter in a heat equation with ill-posed nature. Applying Tikhonov regularization, we obtain a stable approximation to the unknown parameter from over-specified data. We also present numerical computations that verify the accuracy of our approximation.

Published July 10, 2000.
Math Subject Classifications: 35K05, 35R25.
Key Words: Heat equation, inverse problem, regularization.

Show me the PDF file (104K), TEX file, and other files for this article.

Ping Wang
Department of Mathematics, Pennsylvania State University
Schuylkill Haven, PA 17972, USA

Kewang Zheng
Department of Mathematics
Hebei University of Science and Technology, China

Return to the EJDE web page