THE SPACE SPECTRAL INTERPOLATION COLLOCATION METHOD FOR REACTION-DIFFUSION SYSTEMS

被引：4

作者：

Zhang, Xiao-Li ^{[1
,2
]}

Zhang, Wei ^{[2
]}

Wang, Yu-Lan ^{[1
]}

Ban, Ting-Ting ^{[1
]}

机构：

[1] Inner Mongolia Univ Technol, Dept Math, Hohhot, Peoples R China

[2] Jining Normal Univ, Inst Econ & Management, Jining, Inner Mongolia, Peoples R China

来源：

THERMAL SCIENCE | 2021年 / 25卷 / 02期

关键词：

numerical simulation; reaction-diffusion; fractal derivative; complex dynamics characters; turing bifurcation condition; space spectral interpolation collocation method;

D O I：

10.2298/TSCI200402022Z

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A space spectral interpolation collocation method is proposed to study non-linear reaction-diffusion systems with complex dynamics characters. A detailed solution process is elucidated, and some pattern formations are given. The numerical results have a good agreement with theoretical ones. The method can be extended to fractional calculus and fractal calculus.

引用

页码：1269 / 1275

页数：7

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