Determination of a source term in a heat equation

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

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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.