Quasi-Reversibility Regularization Method for Solving a Backward Heat Conduction Problem

Ailin Qian, Jianfeng Mao

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DOI: 10.4236/ajcm.2011.13018                

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.

Keywords

Back Heat Conduction, Ill-Posed Problem, Quasi-Reversibility, Regularization

Conflicts of Interest

The authors declare no conflicts of interest.

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