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Mathematical Problems in Engineering
Volume 8, Issue 2, Pages 161-168
http://dx.doi.org/10.1080/10241230212907

Numerical method of identification of an unknown source term in a heat equation

University of Kocaeli, Department of Mathematics, 41100 Anitpark, lzmit, Kocaeli, Turkey

Received 5 January 2000

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A numerical procedure for an inverse problem of identification of an unknown source in a heat equation is presented. Approach of proposed method is to approximate unknown function by polygons linear pieces which are determined consecutively from the solution of minimization problem based on the overspecified data. Numerical examples are presented.