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Third-Order Approximate Solution of Chemical Reaction-Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-22
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Alkhalaf, Salem. 2017. Third-Order Approximate Solution of Chemical Reaction-Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1123150
Modern Language Association (MLA)
Alkhalaf, Salem. Third-Order Approximate Solution of Chemical Reaction-Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method. Advances in Mathematical Physics No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1123150
American Medical Association (AMA)
Alkhalaf, Salem. Third-Order Approximate Solution of Chemical Reaction-Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1123150
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123150