Table of Contents
Chinese Journal of Mathematics
Volume 2013, Article ID 761272, 9 pages
http://dx.doi.org/10.1155/2013/761272
Research Article

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

College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China

Received 11 July 2013; Accepted 13 August 2013

Academic Editors: Y. Feng and G. Toth

Copyright © 2013 Baiyu Wang and Anping Liao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.