Journal of Siberian Federal University. Mathematics & Physics / Numerical Investigation of Solutions to a Reaction-diffusion System with Variable Density

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2016 9 (1)
Authors
Sadullaeva, Shahlo A.
Contact information
Sadullaeva, Shahlo A.:Tashkent University of Information Technology Amir Temur, 108, Tashkent, 700084, Uzbekistan;
Keywords
double nonlinear reaction-diffusion system; self-similar solutions; asymptotics; numerical calculations
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 com- pactly 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

Pages
90-101
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/20081