Author(s)

Gendai Gu, Hongxiao Peng^*

School of Mathematics and Physics, North China Electrical Power University, Baoding, China.

Differential method and homotopy analysis method are used for solving the two-dimensional reaction-diffusion model. And the structure of the solutions is analyzed. Finally, the homotopy series solutions are simulated with the mathematical software Matlab, so the Turing patterns will be produced. Overall analysis and experimental simulation of the model show that the different parameters lead to different Turing pattern structures. As time goes on, the structure of Turing patterns changes, and the final solutions tend to stationary state.

Differential Method, Homotopy Analysis Method, Reaction-Diffusion Model, Turing Patterns

Gu, G. and Peng, H. (2015) Numerical Simulation of Reaction-Diffusion Systems of Turing Pattern Formation. International Journal of Modern Nonlinear Theory and Application, 4, 215-225. doi: 10.4236/ijmnta.2015.44016.