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J. Sib. Fed. Univ. Math. Phys., 2016, Volume 9, Issue 1, Pages 90–101 (Mi jsfu463)  

This article is cited in 1 scientific paper (total in 1 paper)

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

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.

DOI: https://doi.org/10.17516/1997-1397-2016-9-1-90-101

Full text: PDF file (436 kB)
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Bibliographic databases:

UDC: 519.21
Received: 15.10.2015
Received in revised form: 06.11.2015
Accepted: 30.12.2015
Language:

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
\Bibitem{Sad16}
\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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000412005500010}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. M. M. Aripov, A. S. Matyakubov, “Self-similar solutions of a cross-diffusion parabolic system with variable density: explicit estimates and asymptotic behaviour”, Nanosyst.-Phys. Chem. Math., 8:1 (2017), 5–12  crossref  mathscinet  isi
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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