TITLE:
Numerical Simulation of Reaction-Diffusion Systems of Turing Pattern Formation
AUTHORS:
Gendai Gu, Hongxiao Peng
KEYWORDS:
Differential Method, Homotopy Analysis Method, Reaction-Diffusion Model, Turing Patterns
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.4 No.4,
November
12,
2015
ABSTRACT: 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.