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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2014, Volume 6, Issue 1, Pages 36–41
(Mi vyurm7)
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Mathematics
Regular approximation for boundary condition in inverse problem of thermal diagnostics
A. I. Sidikova, S. I. Belkov South Ural State University
Abstract:
Until recently at the solution of the problem the accuracy of the root-mean-square approximation has been increased through the development of optimum methods. The drawback of the root-mean-square approximation is unreliability of sufficient accuracy for concrete values of t. Thus, the algorithm of definition of regular approximation is considered in the article. Regular estimator of this approximation is given.
Keywords:
inverse problem, regularization, estimation error, ill-posed problem, Fourier transformation.
Received: 27.09.2013
Citation:
A. I. Sidikova, S. I. Belkov, “Regular approximation for boundary condition in inverse problem of thermal diagnostics”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 6:1 (2014), 36–41
Linking options:
https://www.mathnet.ru/eng/vyurm7 https://www.mathnet.ru/eng/vyurm/v6/i1/p36
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Abstract page: | 208 | Full-text PDF : | 76 | References: | 53 | First page: | 2 |
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