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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2013, Volume 6, Issue 3, Pages 112–124
(Mi vyuru12)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematical Modelling
Numerical Simulation for Solving an Inverse Boundary Heat Conduction Problem
N. M. Yaparova South Ural State University, Chelyabinsk, Russian Federation
Abstract:
This paper proposes different approaches that help to find numerical solution to the boundary problem for heat equation. The Laplace and Fourier transforms are the basis for these approaches. The application of the Laplace transform allowed us to obtain an operator equation which connected the unknown function at one boundary with the initial data on the other boundary. The approach based on the Fourier transform for a time variable enables us to get a stable solution for the inverse problem of heat diagnostics. The obtained results are used for devising numerical methods. Comparative computational analysis of these approaches shows the limits of applications and effectiveness of each numerical method.
Keywords:
boundary value problems for heat equation, regularization methods, the Laplace transform, Fourier transform, method of projective regularization.
Received: 15.05.2013
Citation:
N. M. Yaparova, “Numerical Simulation for Solving an Inverse Boundary Heat Conduction Problem”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:3 (2013), 112–124
Linking options:
https://www.mathnet.ru/eng/vyuru12 https://www.mathnet.ru/eng/vyuru/v6/i3/p112
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Abstract page: | 406 | Full-text PDF : | 194 | References: | 37 | First page: | 2 |
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