Reconstruction of a right-hand side of parabolic equation by radial basis functions method

Wei Liu; Baiyu Wang

Wei Liu Department of Mathematics and Computer Science, Changsha University, China
Baiyu Wang Department of Mathematics and Computer Science, Changsha University, China

Keywords: inverse problem, radial basis functions, meshless method, parabolic equation, right-hand side.

Abstract

The inverse problem of reconstructing the right-hand side (RHS) of a parabolic equation using the radial basis functions (RBF) method from a solution specified at internal points is investigated. In this paper, the RHS is unknown about time, and the method we use is the meshless method. Some numerical experiments are presented to illustrate the accuracy, stability and effectiveness.

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