The meshless local Pretrov-Galerkin (MLPG) method based on moving Kriging approximation is introduced to solve the system of coupled nonlinear reaction-diffusion equations. The Runge-Kutta method is chosen for temporal discretization. The developed formulations are verified in two numerical experiments. The results are shown that the developed formulation works well and has accuracy of numerical results for these nonlinear equations.

MLPG, moving Kriging, reaction-diffusion equations, Runge-Kutta method.