نتایج جستجو برای: reaction diffusion equations

تعداد نتایج: 782457  

Journal: :Journal of mathematical analysis and applications 2015
Maryann E Hohn Bo Li Weihua Yang

We consider a system of coupled reaction-diffusion equations that models the interaction between multiple types of chemical species, particularly the interaction between one messenger RNA and different types of non-coding microRNAs in biological cells. We construct various modeling systems with different levels of complexity for the reaction, nonlinear diffusion, and coupled reaction and diffus...

Journal: :Journal of Differential Equations 2021

In this paper, we study the diffusion approximation for singularly perturbed stochastic reaction-diffusion equation with a fast oscillating term. The asymptotic limit original system is obtained, where an extra Gaussian term appears. Such explicitly given in terms of solution Poisson Hilbert space. Moreover, also obtain rate convergence, and convergence shown not to depend on regularity coeffic...

Journal: :computational methods for differential equations 0
mohammad mehdizadeh khalsaraei university of maragheh

systems in which reaction terms are coupled to diffusion and advection transports arise in awide range of chemical engineering applications, physics, biology and environmental. in these cases, thecomponents of the unknown can denote concentrations or population sizes which represent quantities andthey need to remain positive. classical finite difference schemes may produce numerical drawbacks s...

2010
ATSUSHI NOMURA MAKOTO ICHIKAWA KOICHI OKADA HIDETOSHI MIIKE TATSUNARI SAKURAI

This paper presents a quick review of reaction-diffusion systems that self-organize spatio-temporal patterns in chemical and biological systems. A pair of reaction-diffusion equations having activator and inhibitor variables is a typical model of equations describing their pattern formation processes. Some of the reaction-diffusion systems can realize several functions of image processing such ...

Journal: :Journal of computational physics 2012
Wing-Cheong Lo Long Chen Ming Wang Qing Nie

An inhomogeneous steady state pattern of nonlinear reaction-diffusion equations with no-flux boundary conditions is usually computed by solving the corresponding time-dependent reaction-diffusion equations using temporal schemes. Nonlinear solvers (e.g., Newton's method) take less CPU time in direct computation for the steady state; however, their convergence is sensitive to the initial guess, ...

Journal: :Journal of Mathematical Analysis and Applications 1990

Journal: :International Journal of Bifurcation and Chaos 1997

Journal: :Topological Methods in Nonlinear Analysis 2001

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