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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 5
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Original Articles

Reconstruction of spatial heat sources in heat conduction problems

Ping Wang Department of Mathematics, Pennsylvania State University, Schuylkill Haven, PA 17972, USACorrespondence[email protected]
&
Kewang Zheng Department of Mathematics, Hebei University of Science and Technology, China
Pages 459-465 | Received 04 Jun 2004, Accepted 10 Aug 2004, Published online: 04 Sep 2006
 
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Abstract

In this short article, we consider the problem of recovering unknown spatial heat sources in heat equations. Applying Tikhonov's regularization approach, we define and obtain stable solutions to approximate the unknown sources from overspecified non-smooth data. We will also conduct numerical computations to demonstrate the applicability of our approximation.

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