Reliable numerical analysis for stochastic reaction-diffusion system

Abstract

Abstract In this article, stochastic behavior of reaction diffusion brusselator model is under consideration. There are many physical phenomena which are related to chemical concentrations. One chemical concentration coincide with the other chemical concentration and their inter-diffusion is a major question to be addressed and to be understood. So, that is why Brusselator model is very proto-type and standard model that lays the foundation of any kind of that matter chemical concentrations of different substances. It also has the application in physical species as well. That is why we are considering such model. The existence of solution is guaranteed with fix-point operator, self mapping and pre-compact conditions. Nonstandard finite difference scheme and Crank-Nicolson schemes are used to show the graphical behavior of the model. The consistency and stability of the schemes are discussed and both schemes are unconditionally stable. The 3D and 2D graphs represents the concentration of the models.