Author(s)： Jan Mach

J. Math-for-Ind. 3C (2011) 41-51.

• File： JMI2011C-6.pdf (168KB)

Abstract
The article summarizes application of the nonlinear Galerkin method to the numerical solution of reaction-diffusion systems---the Gray-Scott model and simplified equation. The space discretization is performed by the finite-element method. For time integration we use the Runge- Kutta method with time step adaptivity. The computational results demonstrate properties of the method and the comparison with the finite difference method.

Keyword(s).　 Nonlinear Galerkin method, Gray-Scott model, reaction-diffusion equation, method of lines, finite difference method, finite element method, Runge-Kutta-Merson method