A Meshless Method to Determine a Source Term in Heat Equation with Radial Basis Functions

This paper considers a numerical method based on the radial basis functions for the inverse problem of heat equation; the inverse problem is determining an unknown source term subject to the overdetermination along with the usual initial boundary conditions, and the unknown source term is only time-...

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Bibliographic Details
Published inChinese journal of mathematics Vol. 2013; no. 2013; pp. 1 - 9
Main Authors Wang, Baiyu, Liao, Anping
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Puplishing Corporation 12.09.2013
Hindawi Publishing Corporation
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Summary:This paper considers a numerical method based on the radial basis functions for the inverse problem of heat equation; the inverse problem is determining an unknown source term subject to the overdetermination along with the usual initial boundary conditions, and the unknown source term is only time-dependent. The radial basis functions method is a meshless method with high accuracy for the inverse problem. Some numerical experiments using this method are presented and discussed.
ISSN:2314-8071
2314-8071
DOI:10.1155/2013/761272