International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 45489, 9 pages

Error estimates of a difference approximation method for a backward heat conduction problem

Xiang-Tuan Xiong, Chu-Li Fu, Zhi Qian, and Xiang Gao

Department of Mathematics, Lanzhou University, Lanzhou 730000, China

Received 22 March 2005; Revised 11 December 2005; Accepted 12 February 2006

Copyright © 2006 Xiang-Tuan Xiong et al. 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.


We introduce a central difference method for a backward heat conduction problem (BHCP). Error estimates for this method are provided together with a selection rule for the regularization parameter (the space step length). A numerical experiment is presented in order to illustrate the role of the regularization parameter.