Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Matem. Mod.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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 1 scientific paper (total in 1 paper)

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 (1)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/mm4422
  • https://www.mathnet.ru/eng/mm/v34/i12/p3
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
    Statistics & downloads:
    Abstract page:253
    Full-text PDF :55
    References:44
    First page:19
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024