A meshless method for reconstructing a source term in diffusion equation

Baiyu Wang; Wei Liu

Baiyu Wang College of Computer Engineering and Applied Mathematics, Changsha University, China
Wei Liu College of Computer Engineering and Applied Mathematics, Changsha University, China

Keywords: meshless method, moving least squares, inverse problem, diffusion equation.

Abstract

A meshless method based on the moving least squares approximation is applied to find the numerical solution of the inverse problem of diffusion equation. The problem is that reconstructing a source term using a solution specified at some internal points. Some numerical experiments are presented and discussed.

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