American Journal of Computational Mathematics

Volume 1, Issue 3 (September 2011)

ISSN Print: 2161-1203   ISSN Online: 2161-1211

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

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DOI: 10.4236/ajcm.2011.13018    5,389 Downloads   9,915 Views   Citations

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.

Cite this paper

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.

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