Quasi-Reversibility Regularization Method for Solving a Backward Heat Conduction Problem
Ailin Qian, Jianfeng Mao
DOI: 10.4236/ajcm.2011.13018   PDF   HTML     5,779 Downloads   10,692 Views   Citations


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.

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A. Qian and J. Mao, "Quasi-Reversibility Regularization Method for Solving a Backward Heat Conduction Problem," American Journal of Computational Mathematics, Vol. 1 No. 3, 2011, pp. 159-162. doi: 10.4236/ajcm.2011.13018.

Conflicts of Interest

The authors declare no conflicts of interest.


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