Third-order approximate solution of chemical reaction-diffusion Brusselator system using optimal homotopy asymptotic method
type: Item
instance of: scholarly article
title: Third-order approximate solution of chemical reaction-diffusion Brusselator system using optimal homotopy asymptotic method
zbMATH Open document ID: 1404.65211
DOI: 10.1155/2017/3895701
author: Salem Alkhalaf
published in: Advances in Mathematical Physics
publication date: 2018-10-23T00:00:00Z
review text: Summary: The objective of this paper is to investigate the effectiveness and performance of optimal homotopy asymptotic method in solving a system of nonlinear partial differential equations. Since mathematical modeling of certain chemical reaction-diffusion experiments leads to Brusselator equations, it is worth demanding a new technique to solve such a system. We construct a new efficient recurrent relation to solve nonlinear Brusselator system of equations. It is observed that the method is easy to implement and quite valuable for handling nonlinear system of partial differential equations and yielding excellent results at minimum computational cost. Analytical solutions of Brusselator system are presented to demonstrate the viability and practical usefulness of the method. The results reveal that the method is explicit, effective, and easy to use.
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 80A32
Mathematics Subject Classification ID: 80A30
Mathematics Subject Classification ID: 35Q79
zbMATH DE Number: 6962619
zbMATH Keywords: chemical reaction-diffusion Brusselator system
zbMATH Keywords: optimal homotopy asymptotic method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/3895701
OpenAlex ID: W2590216542
Wikidata QID: Q59142435
cites work: Q4138569
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description: scientific article; zbMATH DE number 6962619