

Author: Liu Jinbo
Publisher: Taylor & Francis Ltd
ISSN: 0020-7160
Source: International Journal of Computer Mathematics, Vol.87, Iss.5, 2010-04, pp. : 969-975
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Abstract
This paper investigates the inverse problem of determining an unknown source term in a heat equation subject to the overspecification of the solution at an internal point along with the usual initial boundary conditions, and the source term is only time-dependent. In this paper, the method of trace-type functional formulation of a problem is considered. Some numerical examples using this approach and the finite-difference method are presented and discussed.
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International Journal of Computer Mathematics, Vol. 87, Iss. 5, 2010-04 ,pp. :