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This article is cited in 11 scientific papers (total in 11 papers)
An asymptotic analysis of a self-similar solution for the double nonlinear reaction-diffusion system
M. M. Aripova, Sh. A. Sadullaevab a National University of Uzbekistan named after M. Ulugbek, Tashkent, Uzbekistan
b Tashkent University of information technology, Tashkent, Uzbekistan
Abstract:
We study the solution for a system of reaction-diffusion equations with double nonlinearity in the presence of a source. A self-similar approach is used for the treatment of qualitative properties of a nonlinear reaction-diffusion system. It is shown that there exist some parameter values for which the effect of finite velocity of perturbation of distribution (FSPD), localization of solution, onside localization can occur. The problem for choosing the appropriate initial approximation for the iteration process used in numerical analysis is solved.
Keywords:
reaction-diffusion system, double nonlinearity, qualitative properties.
Received: 01.11.2015
Citation:
M. M. Aripov, Sh. A. Sadullaeva, “An asymptotic analysis of a self-similar solution for the double nonlinear reaction-diffusion system”, Nanosystems: Physics, Chemistry, Mathematics, 6:6 (2015), 793–802
Linking options:
https://www.mathnet.ru/eng/nano995 https://www.mathnet.ru/eng/nano/v6/i6/p793
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