Numerical simulation of the space fractional (3

被引：3

作者：

Dai, Dan-Dan ^{[1
]}

Zhang, Wei ^{[2
]}

Wang, Yu-Lan ^{[3
]}

机构：

[1] Jining Normal Univ, Sch Phys & Elect Informat Engn, Jining 012000, Inner Mongolia, Peoples R China

[2] Jining Normal Univ, Inst Econ & Management, Jining 012000, Inner Mongolia, Peoples R China

[3] Inner Mongolia Univ Technol, Dept Math, Hohhot 010051, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 06期

关键词：

numerical simulation; patterns; Fourier spectral method; Riesz fractional derivative; REPRODUCING KERNEL-METHOD; PREDICTOR-CORRECTOR METHOD; EQUATION; MODEL;

D O I：

10.3934/math.2022569

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The reaction-diffusion process always behaves extremely magically, and any a differential model cannot reveal all of its mechanism. Here we show the patterns behavior can be described well by the fractional reaction-diffusion model (FROM), which has unique properties that the integer model does not have. Numerical simulation is carried out to elucidate the attractive properties of the fractional (3+1)-dimensional Gray-Scott model, which is to model a chemical reaction with oscillation. The Fourier transform for spatial discretization and fourth-order Runge-Kutta method for time discretization are employed to illustrate the fractal reaction-diffusion process.

引用

页码：10234 / 10244

页数：11

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