An effective analytical method for fractional Brusselator reaction–diffusion system-Reference-Cited by-同舟云学术

An effective analytical method for fractional Brusselator reaction–diffusion system

Published:2023-07-31 Issue:18 Volume:46 Page:18749-18758
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Nisar Kottakkaran Sooppy¹^ORCID,Jagatheeshwari R.²^ORCID,Ravichandran C.³^ORCID,Veeresha P.⁴^ORCID

Affiliation:

1. Department of Mathematics, College of Science and Humanities in Alkharj Prince Sattam bin Abdulaziz University Alkharj Saudi Arabia

2. Department of Mathematics Kumaraguru College of Liberal Arts and Science Coimbatore, Tamilnadu India

3. Department of Mathematics Kongunadu Arts and Science College Coimbatore, Tamilnadu India

4. Center for Mathematical Needs, Department of Mathematics CHRIST (Deemed to be University) Bengaluru India

Abstract

In recent years, reaction–diffusion models have attracted researchers for their wide applications. In this article, we consider Brusselator reaction–diffusion system (BRDS), which is known for its cross diffusion and pattern formations in biology and chemistry. We derive an analytical solution of the fractional Brusselator reaction–diffusion system (FBRDS) with the help of the initial condition by a novel method, residual power series method (RPSM). The system solution has been analyzed by graph.

Funder

Prince Sattam bin Abdulaziz University

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9589

Reference28 articles.

1. A finite element approach to capture Turing patterns of auto catalytic Brusselator model;Yadev O. M.;J. Math. Chem.,2018

2. Turing Pattern Formation in the Brusselator Model with Superdiffusion

3. Numerical treatment for nonlinear Brusselator chemical model