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
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
\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}
Linking options:
https://www.mathnet.ru/eng/crm488
https://www.mathnet.ru/eng/crm/v4/i2/p293
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V. V. Zhikharevich, L. M. Shumilyak, L. M. Strutinskaya, S. E. Ostapov, “Postroenie i issledovanie nepreryvnoi kletochno-avtomatnoi modeli protsessov teploprovodnosti s fazovymi perekhodami pervogo roda”, Kompyuternye issledovaniya i modelirovanie, 5:2 (2013), 141–152
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