Investigation and numerical solution of one nonlinear diffusion system

Author: Nino Mzhavanadze
Keywords: Nonlinear partial differential equations, stationary solution, linear stability, Hopf bifurcation.
Annotation:

This study examines the behavior of solution of the initial-boundary problem of one nonlinear diffusion system, as time variable tends to infinity. The issue of linear stability of the stationary solution of the system and the possibility of the Hopf-type bifurcation is investigated. The difference scheme is constructed. The numerical experiments and analysis of obtained results are carried out

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ერთი არაწრფივი დიფუზიური სისტემის გამოკვლევა და რიცხვითი ამოხსნა [ka]