图灵图案形成反应-扩散系统的数值模拟

Gendai Gu, Hongxiao Peng
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引用次数: 3

摘要

采用微分法和同伦分析法求解二维反应扩散模型。并分析了解的结构。最后,用数学软件Matlab对同伦级数解进行仿真,得到图灵模式。模型的整体分析和实验仿真表明,不同的参数导致不同的图灵图结构。随着时间的推移,图灵图的结构发生变化,最终解趋于定态。
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Numerical Simulation of Reaction-Diffusion Systems of Turing Pattern Formation
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.
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