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A meshless method to determine a source term in heat equation with radial basis functions - MaRDI portal

A meshless method to determine a source term in heat equation with radial basis functions (Q463181)

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scientific article; zbMATH DE number 6356627
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English
A meshless method to determine a source term in heat equation with radial basis functions
scientific article; zbMATH DE number 6356627

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    A meshless method to determine a source term in heat equation with radial basis functions (English)
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    16 October 2014
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    Summary: This paper considers a numerical method based on radial basis functions for an inverse problem for the 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.
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    inverse problem
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    heat equation
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    meshless numerical method
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    radial basis functions
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