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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