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

Abstract:
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.

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Ping Wang
Department of Mathematics, Pennsylvania State University
Schuylkill Haven, PA 17972, USA
e-mail: pxw10@psu.edu

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

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