International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 2, Article ID 45489, 9 pages
doi:10.1155/IJMMS/2006/45489
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
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.