TITLE:
Quasi-Reversibility Regularization Method for Solving a Backward Heat Conduction Problem
AUTHORS:
Ailin Qian, Jianfeng Mao
KEYWORDS:
Back Heat Conduction, Ill-Posed Problem, Quasi-Reversibility, Regularization
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.1 No.3,
September
19,
2011
ABSTRACT: Non-standard backward heat conduction problem is ill-posed in the sense that the solution(if it exists) does not depend continuously on the data. In this paper, we propose a regularization strategy-quasi-reversibility method to analysis the stability of the problem. Meanwhile, we investigate the roles of regularization parameter in this method. Numerical result show that our algorithm is effective and stable.