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

Zhуkharevуch V.V., Shumуlyak L.M.
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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
Citation in English: Zhуkharevуch V.V., Shumуlyak L.M. 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, 2012, vol. 4, no. 2, pp. 293-301
Citation in English: Zhуkharevуch V.V., Shumуlyak L.M. 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, 2012, vol. 4, no. 2, pp. 293-301
DOI: 10.20537/2076-7633-2012-4-2-293-301
URL: http://crm-en.ics.org.ru/journal/article/1889/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
According to Crossref, this article is cited by:
  • Vladimir Viktorovich Zhуkharevуch, Liliya Mikhajlovna Shumуlyak, Lyubov Timofeevna Strutinskaja, Sergey Eduardovich Ostapov. Construction and investigation of continuous cellular automatа model of heat conductivity processes with first order phase transitions. // Computer Research and Modeling. — 2013. — Т. 5, № 2. — С. 141. DOI: 10.20537/2076-7633-2013-5-2-141-152
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