The Effect of Fractional-Order Derivative for Pattern Formation of Brusselator Reaction-Diffusion Model Occurring in Chemical Reactions

被引：7

作者：

Abbaszadeh, Mostafa ^{[1
]}

Salec, Alireza Bagheri ^{[2
]}

Abd Al-Khafaji, Shurooq Kamel ^{[2
]}

机构：

[1] Amirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Dept Appl Math, 424 Hafez Ave, Tehran 15914, Iran

[2] Univ Qom, Fac Basic Sci, Dept Math, Alghadir Blvd, Qom, Iran

来源：

IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY | 2023年 / 14卷 / 04期

关键词：

Fractional calculus; Brusselator model; Spectral method; Error estimate; FINITE-DIFFERENCE; SCHEME; APPROXIMATION; EQUATION; SYSTEM;

D O I：

10.22052/IJMC.2023.253498.1759

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The space fractional PDEs (SFPDEs) have attracted a lot of attention. Developing high-order and stable numerical algorithms for them is the main aim of most researchers. This research work presents a fractional spectral collocation method to solve the fractional models with space fractional derivative which is defined based upon the Riesz derivative. First, a second-order difference formulation is used to approximate the time derivative. The stability property and convergence order of the semi-discrete scheme are analyzed. Then, the fractional spectral collocation method based on the fractional Jacobi polynomials is employed to discrete the spatial variable. In the numerical results, the effect of fractional order is studied.

引用

页码：243 / 269

页数：27