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Matematicheskoe modelirovanie, 2022, Volume 34, Number 12, Pages 3–19
DOI: https://doi.org/10.20948/mm-2022-12-01 (Mi mm4422) 		 
This article is cited in 3 scientific papers (total in 3 papers)

An explicit difference scheme for non-linear heat conduction equation

B. N. Chetverushkin, O. G. Olkhovskaya, V. A. Gasilov

Keldysh Institute of Applied Mathematics of RAS
Full-text PDF (446 kB) Citations (3)
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DOI: https://doi.org/10.20948/mm-2022-12-01
Abstract: We develop an algorithm for numerical treatment of non-linear heat conduction problems, which is well adapted to the architecture of high-performance computing systems. The technique is based on hyperbolic heat conduction model and explicit difference scheme. The new scheme provides second order temporal resolution of non-linearity with acceptable time step. An application to plasma dynamic simulations is discussed.
Keywords: non-linear heat conduction equation, hyperbolic heat conduction model, explicit difference scheme, high-performance computing.
Received: 16.05.2022
Revised: 31.08.2022
Accepted: 12.09.2022
English version:
Mathematical Models and Computer Simulations, 2023, Volume 15, Issue 3, Pages 529–538
DOI: https://doi.org/10.1134/S2070048223030031
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. N. Chetverushkin, O. G. Olkhovskaya, V. A. Gasilov, “An explicit difference scheme for non-linear heat conduction equation”, Matem. Mod., 34:12 (2022), 3–19; Math. Models Comput. Simul., 15:3 (2023), 529–538
Citation in format AMSBIB
\Bibitem{CheOlkGas22}
\by B.~N.~Chetverushkin, O.~G.~Olkhovskaya, V.~A.~Gasilov
\paper An explicit difference scheme for non-linear heat conduction equation
\jour Matem. Mod.
\yr 2022
\vol 34
\issue 12
\pages 3--19
\mathnet{http://mi.mathnet.ru/mm4422}
\crossref{https://doi.org/10.20948/mm-2022-12-01}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4515346}
\transl
\jour Math. Models Comput. Simul.
\yr 2023
\vol 15
\issue 3
\pages 529--538
\crossref{https://doi.org/10.1134/S2070048223030031}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    References:59
    First page:19
     
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