Numerical Investigation one System Reaction-Diffusion with Double Nonlineari

Authors

  • Sh. A. Sadullaeva Tashkent University of Information Technology
  • G. Pardaeva Tashkent University of Information Technology

Keywords:

reaction, diffusion, self-similar, asymptotic, compactly supported solutions, free boundary, numerical computation visualization

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 behaviour 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 with animation, which allows observing evolution of the studied
process in time.

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Published

2018-06-22

Issue

Section

Mathematical modeling of technological processes