Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 192, Pages 3–19
DOI: https://doi.org/10.36535/0233-6723-2021-192-3-19 (Mi into776) 		 
Boundary integral equations of the Stefan problem in terms of the time of phase transition

R. V. Harutyunyan

Bauman Moscow State Technical University
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DOI: https://doi.org/10.36535/0233-6723-2021-192-3-19
Abstract: In this paper, a new numerical method for solving the Stefan problem based on the time function of phase transitions is considered. A nonlinear integral equation of minimal dimension is obtained and an efficient numerical method for solving this equation is proposed. The method is tested on important problems of thawing of frozen soils with various methods of thermal action.
Keywords: Stefan problem, integral equation, numerical method, soil thawing.
Document Type: Article
UDC: 517.95
MSC: 80A22
Language: Russian
Citation: R. V. Harutyunyan, “Boundary integral equations of the Stefan problem in terms of the time of phase transition”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 192, VINITI, Moscow, 2021, 3–19
Citation in format AMSBIB
\Bibitem{Har21}
\by R.~V.~Harutyunyan
\paper Boundary integral equations of the Stefan problem in terms of the time of phase transition
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 192
\pages 3--19
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into776}
\crossref{https://doi.org/10.36535/0233-6723-2021-192-3-19}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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