International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 45489, 9 pages
doi:10.1155/IJMMS/2006/45489
Error estimates of a difference approximation
method for a backward heat conduction problem
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.
Abstract
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.