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Computer Research and Modeling, 2012, Volume 4, Issue 2, Pages 293–301
DOI: https://doi.org/10.20537/2076-7633-2012-4-2-293-301 (Mi crm488) 		 
This article is cited in 4 scientific papers (total in 4 papers)

NUMERICAL METHODS AND THE BASIS FOR THEIR APPLICATION

Approximation of the solution of the non-stationary equation of heat conductivity by the method of probabilistic continuous asynchronous cellular automats for a one-dimensional case

V. V. Zhikharevich, L. M. Shumylyak

Chernivtsi faculty of national technical university, Kharkiv polytechnic institute, Golovna str., 203a, Chernivtsi, Ukraine, 58032
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DOI: https://doi.org/10.20537/2076-7633-2012-4-2-293-301
Abstract: The solution of problems of heat conductivity by means of a method of continuous asynchronous cellular automats is considered in the article. Coordination of distribution of temperature in a sample at a given time between cellular automat model and the exact analytical solution of the equation of heattransfer is shown that speaks about expedient use of this method of modelling. Dependence between time of one cellular automatic interaction and dimension of a cellular automatic field is received.
Keywords: heat conductivity equation, cellular automat, time of interaction.
Received: 14.04.2012
Revised: 12.05.2012
Document Type: Article
UDC: 519.6:536.2
Language: Russian
Citation: V. V. Zhikharevich, L. M. Shumylyak, “Approximation of the solution of the non-stationary equation of heat conductivity by the method of probabilistic continuous asynchronous cellular automats for a one-dimensional case”, Computer Research and Modeling, 4:2 (2012), 293–301
Citation in format AMSBIB
\Bibitem{ZhiShu12}
\by V.~V.~Zhikharevich, L.~M.~Shumylyak
\paper Approximation of the solution of the non-stationary equation of heat
conductivity by the method of probabilistic continuous asynchronous
cellular automats for a one-dimensional case
\jour Computer Research and Modeling
\yr 2012
\vol 4
\issue 2
\pages 293--301
\mathnet{http://mi.mathnet.ru/crm488}
\crossref{https://doi.org/10.20537/2076-7633-2012-4-2-293-301}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Computer Research and Modeling
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