Solving the reaction-diffusion Brusselator system using Generalized Finite Difference Method

Abstract

In this paper, we investigate the numerical solution of the Brusselator system using a meshless method. A numerical scheme is derived employing the formulas of the Generalized Finite Difference Method, and the convergence of the approximate solution to the exact solution is examined. In order to demonstrate the applicability and accuracy of the method, several examples are proposed.

Keywords

• brusselator
• generalized finite differences
• meshless method
• convergence