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Dal'nevostochnyi Matematicheskii Zhurnal, 2023, Volume 23, Number 2, Pages 240–245
DOI: https://doi.org/10.47910/FEMJ202320 (Mi dvmg521) 		 
An iterative algorithm for solving an initial-boundary value problem for a quasi-linear model of complex heat transfer

N. M. Parkab, A. E. Kovtanyukab

a Far Eastern Center of Mathematical Research, Far Eastern Federal University, Vladivostok
b Amur State University, Blagoveshchensk, Amur region
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DOI: https://doi.org/10.47910/FEMJ202320
Abstract: An initial-boundary value problem for a system of quasilinear equations of radiative-conductive heat transfer, simulating the process of endovenous laser ablation, is considered. An algorithm for finding its solution is proposed and its convergence is proved. The efficiency of the algorithm is illustrated by numerical experiments.
Key words: endovenous laser ablation, radiative-conductive heat transfer, iterative algorithm, nonlocal solvability.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-946
122082400001-8
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (project No. 122082400001-8 and agreement No. 075-02-2023-946).
Received: 21.02.2023
Accepted: 14.11.2023
Document Type: Article
UDC: 517.95
MSC: Primary 35K59; Secondary 80A21
Language: Russian
Citation: N. M. Park, A. E. Kovtanyuk, “An iterative algorithm for solving an initial-boundary value problem for a quasi-linear model of complex heat transfer”, Dal'nevost. Mat. Zh., 23:2 (2023), 240–245
Citation in format AMSBIB
\Bibitem{ParKov23}
\by N.~M.~Park, A.~E.~Kovtanyuk
\paper An iterative algorithm for solving an initial-boundary value problem for a quasi-linear model of complex heat transfer
\jour Dal'nevost. Mat. Zh.
\yr 2023
\vol 23
\issue 2
\pages 240--245
\mathnet{http://mi.mathnet.ru/dvmg521}
\crossref{https://doi.org/10.47910/FEMJ202320}
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