Some filter regularization methods for a backward heat conduction problem |
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| Authors: | Hai-Hua QinTing Wei |
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| Institution: | a Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, PR China
b School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, PR China |
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| Abstract: | In this paper, a one-dimensional backward heat conduction problem is investigated. It is well known that such problem is ill-posed. Some filter regularization methods are used to solve it. Convergence estimates under two a-priori bound assumptions for the exact solution are given based on the conditional stabilities. Finally, numerical examples are given to show that our used numerical methods are effective and stable. |
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| Keywords: | Backward heat conduction problem Filter regularization methods Convergence estimates Conditional stabilities |
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