Staff View: On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial

On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial

This paper centres on the effectiveness of the variational iteration method and its modifications for numerically solving the chaotic Chen system, which is a three-dimensional system of ODEs with quadratic nonlinearities. This research implements the multistage variational iteration method with an e...

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Main Authors:	Goh S.M., Noorani M.S.M., Hashim I.
Other Authors:	25521891600
Format:	Article
Published:	2023
Subjects:	Adomian polynomials Chen system Runge-Kutta method Variational iteration method
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id	my.uniten.dspace-30678
record_format	dspace
spelling	my.uniten.dspace-306782023-12-29T15:51:16Z On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial Goh S.M. Noorani M.S.M. Hashim I. 25521891600 6603683028 10043682500 Adomian polynomials Chen system Runge-Kutta method Variational iteration method This paper centres on the effectiveness of the variational iteration method and its modifications for numerically solving the chaotic Chen system, which is a three-dimensional system of ODEs with quadratic nonlinearities. This research implements the multistage variational iteration method with an emphasis on the new multistage hybrid of variational iteration method with Adomian polynomials. Numerical comparisons are made between the multistage variational iteration method, the multistage variational iteration method using the Adomian's polynomials and the classic fourth-order Runge-Kutta method. Our work shows that the new multistage hybrid provides good accuracy and efficiency with a performance that surpasses that of the multistage variational iteration method. � 2009 Springer Science+Business Media, LLC. Final 2023-12-29T07:51:16Z 2023-12-29T07:51:16Z 2010 Article 10.1007/s11075-009-9333-9 2-s2.0-77952008913 https://www.scopus.com/inward/record.uri?eid=2-s2.0-77952008913&doi=10.1007%2fs11075-009-9333-9&partnerID=40&md5=2a6af324d4746a115761f889d4f78312 https://irepository.uniten.edu.my/handle/123456789/30678 54 2 245 260 Scopus
institution	Universiti Tenaga Nasional
building	UNITEN Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Tenaga Nasional
content_source	UNITEN Institutional Repository
url_provider	http://dspace.uniten.edu.my/
topic	Adomian polynomials Chen system Runge-Kutta method Variational iteration method
spellingShingle	Adomian polynomials Chen system Runge-Kutta method Variational iteration method Goh S.M. Noorani M.S.M. Hashim I. On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial
description	This paper centres on the effectiveness of the variational iteration method and its modifications for numerically solving the chaotic Chen system, which is a three-dimensional system of ODEs with quadratic nonlinearities. This research implements the multistage variational iteration method with an emphasis on the new multistage hybrid of variational iteration method with Adomian polynomials. Numerical comparisons are made between the multistage variational iteration method, the multistage variational iteration method using the Adomian's polynomials and the classic fourth-order Runge-Kutta method. Our work shows that the new multistage hybrid provides good accuracy and efficiency with a performance that surpasses that of the multistage variational iteration method. � 2009 Springer Science+Business Media, LLC.
author2	25521891600
author_facet	25521891600 Goh S.M. Noorani M.S.M. Hashim I.
format	Article
author	Goh S.M. Noorani M.S.M. Hashim I.
author_sort	Goh S.M.
title	On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial
title_short	On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial
title_full	On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial
title_fullStr	On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial
title_full_unstemmed	On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial
title_sort	on solving the chaotic chen system: a new time marching design for the variational iteration method using adomian's polynomial
publishDate	2023
_version_	1806428382311743488
score	13.226497

On solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomial

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