TY  - EJOU
AU  - Mohammadi, M.  
AU  - Mokhtari, R.  
AU  - Schaback, R.  

TI  - A Meshless Method for Solving the 2D Brusselator Reaction-Diffusion System
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2014
VL  - 101
IS  - 2
SN  - 1526-1506

AB  - In this paper, the two-dimensional (2D) Brusselator reaction-diffusion system is simulated numerically by the method of lines. The proposed method is implemented as a meshless method based on spatial trial functions in the reproducing kernel Hilbert spaces. For efficiency and stability reasons, we use the Newton basis introduced recently by Müller and Schaback. The method is shown to work in all interesting situations described by Hopf bifurcations and Turing patterns.
KW  - 2D Brusselator reaction-diffusion system
KW  -  method of lines
KW  -  meshless method
KW  -  Newton basis functions
KW  -  reproducing kernel Hilbert space

DO  - 10.3970/cmes.2014.101.113