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385193

A new modification of variational iteration method for solving reaction–diffusion system with fast reversible reaction

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Last updated: 05 Jan 2025

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Abstract

This paper presents a new modification of He's variational iteration method using Adomian's
polynomials (VIMAP) to solve reaction–diffusion system with fast reversible reaction. An
auxiliary parameter is introduced into the VIMAP and optimally identified to adjust the convergence region of the approximate solution. The results reveal that the VIMAP is very accurate comparing with those obtained by the VIM but is not valid for large solution domain, while the new modification have a remarkable accuracy for large domains.

Keywords

Reaction–diffusion system, Fast reversible reaction, Variational iteration method, Adomian’s polynomials, Auxiliary parameter

Authors

First Name

Ann

Last Name

Al-Sawoor

MiddleName

J.

Affiliation

Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul 41002, Iraq

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Orcid

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First Name

Mohammed

Last Name

Al-Amr

MiddleName

O.

Affiliation

Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul 41002, Iraq

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Volume

22

Article Issue

3

Related Issue

50857

Issue Date

2014-10-01

Receive Date

2013-09-28

Publish Date

2014-10-01

Page Start

396

Page End

401

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 22_Issue 3_Pages 396-401.pdf

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Link

https://joems.journals.ekb.eg/article_385193.html

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https://joems.journals.ekb.eg/service?article_code=385193

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385,193

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Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

A new modification of variational iteration method for solving reaction–diffusion system with fast reversible reaction

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Article

Created At

21 Dec 2024