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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
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
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
Linking options:
https://www.mathnet.ru/eng/jsfu463 https://www.mathnet.ru/eng/jsfu/v9/i1/p90
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Abstract page: | 258 | Full-text PDF : | 104 | References: | 55 |
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