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Matematicheskoe modelirovanie, 2020, Volume 32, Number 9, Pages 3–19
DOI: https://doi.org/10.20948/mm-2020-09-01 (Mi mm4210) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A collocation method and its application for solving the linearized Holway equation

O. V. Germider, V. N. Popov

Northern (Arctic) Federal University named after M.V. Lomonosov, Arkhangelsk
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DOI: https://doi.org/10.20948/mm-2020-09-01
Abstract: The article proposes a method for solving the linearized ellipsoidal statistical equation of Holway in the framework of the classical problem of the flow of a rarefied gas between two parallel planes. To approximate the desired solution, we use the expansion of the function in a series according to Chebyshev polynomials of the first kind for each variable. The Holway model kinetic equation by the collocation method is reduced to a linear matrix equation. The values of mass and heat flows of gas are calculated.
Keywords: rarefied gas, kinetic equation, ES-model, collocation method.
Received: 16.12.2019
Revised: 17.02.2020
Accepted: 06.04.2020
English version:
Mathematical Models and Computer Simulations, 2021, Volume 13, Issue 3, Pages 361–371
DOI: https://doi.org/10.1134/S2070048221030066
Document Type: Article
Language: Russian
Citation: O. V. Germider, V. N. Popov, “A collocation method and its application for solving the linearized Holway equation”, Mat. Model., 32:9 (2020), 3–19; Math. Models Comput. Simul., 13:3 (2021), 361–371
Citation in format AMSBIB
\Bibitem{GerPop20}
\by O.~V.~Germider, V.~N.~Popov
\paper A collocation method and its application for solving the linearized Holway equation
\jour Mat. Model.
\yr 2020
\vol 32
\issue 9
\pages 3--19
\mathnet{http://mi.mathnet.ru/mm4210}
\crossref{https://doi.org/10.20948/mm-2020-09-01}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 3
\pages 361--371
\crossref{https://doi.org/10.1134/S2070048221030066}
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    • This publication is cited in the following 2 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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