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Journal of Siberian Federal University. Mathematics & Physics, 2016, Volume 9, Issue 1, Pages 90–101
DOI: https://doi.org/10.17516/1997-1397-2016-9-1-90-101 (Mi jsfu463) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Numerical investigation of solutions to a reaction-diffusion system with variable density

Shahlo A. Sadullaeva

Tashkent University of Information Technology, Amir Temur, 108, Tashkent, 700084, Uzbekistan
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DOI: https://doi.org/10.17516/1997-1397-2016-9-1-90-101
Abstract: In this paper we demonstrate the possibilities of the self-similar and approximately self-similar approaches for studying solutions of a nonlinear mutual reaction-diffusion system. The asymptotic behavior of compactly supported solutions and free boundary is studied. Based on established qualitative properties of solutions numerical computation is carried out. The solutions are presented in visualization form, which allows observing evolution of the studied process in time.
Keywords: double nonlinear reaction-diffusion system, self-similar solutions, asymptotics, numerical calculations.
Received: 15.10.2015
Received in revised form: 06.11.2015
Accepted: 30.12.2015
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: English
Citation: Shahlo A. Sadullaeva, “Numerical investigation of solutions to a reaction-diffusion system with variable density”, J. Sib. Fed. Univ. Math. Phys., 9:1 (2016), 90–101
Citation in format AMSBIB
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\by Shahlo~A.~Sadullaeva
\paper Numerical investigation of solutions to a reaction-diffusion system with variable density
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 1
\pages 90--101
\mathnet{http://mi.mathnet.ru/jsfu463}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-1-90-101}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412005500010}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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