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Enhanced variational iteration method using adomian polynomials for solving the chaotic lorenz system

A merger of two numeric-analytic methods poses various challenges, but also holds promise. Such a fusion could enhance the performance of calculations and may also overcome certain drawbacks of each used individually. This paper focuses on solving the chaotic Lorenz system, a three-dimensional syste...

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Main Authors:	Goh S.M., Mossa Al-Sawalha M., Noorani M.S.M., Hashim I.
Other Authors:	25521891600
Format:	Article
Published:	Walter de Gruyter GmbH 2023
Subjects:	Adomian polynomials Lorenz system Runge-Kutta method Variational iteration method
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id	my.uniten.dspace-30714
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spelling	my.uniten.dspace-307142023-12-29T15:51:44Z Enhanced variational iteration method using adomian polynomials for solving the chaotic lorenz system Goh S.M. Mossa Al-Sawalha M. Noorani M.S.M. Hashim I. 25521891600 55664495900 6603683028 10043682500 Adomian polynomials Lorenz system Runge-Kutta method Variational iteration method A merger of two numeric-analytic methods poses various challenges, but also holds promise. Such a fusion could enhance the performance of calculations and may also overcome certain drawbacks of each used individually. This paper focuses on solving the chaotic Lorenz system, a three-dimensional system of ordinary differential equations with quadratic nonlinearities, using a newly designed hybrid algorithm merging multistage variational iteration method with Adomian polynomials. The core of this algorithm is made by surrogating the nonlinear terms in the variational iteration method with Adomian polynomials. Numerical comparisons are made between the hybrid and the classic fourth-order Runge-Kutta method. Our work demonstrates that the multistage hybrid provides good accuracy and efficiency for the chaotic Lorenz system. �Freund Publishing House Ltd. Final 2023-12-29T07:51:44Z 2023-12-29T07:51:44Z 2010 Article 10.1515/IJNSNS.2010.11.9.689 2-s2.0-78650066950 https://www.scopus.com/inward/record.uri?eid=2-s2.0-78650066950&doi=10.1515%2fIJNSNS.2010.11.9.689&partnerID=40&md5=cfc8bcb61419e4d3651dce02b5c90762 https://irepository.uniten.edu.my/handle/123456789/30714 11 9 689 700 Walter de Gruyter GmbH 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 Lorenz system Runge-Kutta method Variational iteration method
spellingShingle	Adomian polynomials Lorenz system Runge-Kutta method Variational iteration method Goh S.M. Mossa Al-Sawalha M. Noorani M.S.M. Hashim I. Enhanced variational iteration method using adomian polynomials for solving the chaotic lorenz system
description	A merger of two numeric-analytic methods poses various challenges, but also holds promise. Such a fusion could enhance the performance of calculations and may also overcome certain drawbacks of each used individually. This paper focuses on solving the chaotic Lorenz system, a three-dimensional system of ordinary differential equations with quadratic nonlinearities, using a newly designed hybrid algorithm merging multistage variational iteration method with Adomian polynomials. The core of this algorithm is made by surrogating the nonlinear terms in the variational iteration method with Adomian polynomials. Numerical comparisons are made between the hybrid and the classic fourth-order Runge-Kutta method. Our work demonstrates that the multistage hybrid provides good accuracy and efficiency for the chaotic Lorenz system. �Freund Publishing House Ltd.
author2	25521891600
author_facet	25521891600 Goh S.M. Mossa Al-Sawalha M. Noorani M.S.M. Hashim I.
format	Article
author	Goh S.M. Mossa Al-Sawalha M. Noorani M.S.M. Hashim I.
author_sort	Goh S.M.
title	Enhanced variational iteration method using adomian polynomials for solving the chaotic lorenz system
title_short	Enhanced variational iteration method using adomian polynomials for solving the chaotic lorenz system
title_full	Enhanced variational iteration method using adomian polynomials for solving the chaotic lorenz system
title_fullStr	Enhanced variational iteration method using adomian polynomials for solving the chaotic lorenz system
title_full_unstemmed	Enhanced variational iteration method using adomian polynomials for solving the chaotic lorenz system
title_sort	enhanced variational iteration method using adomian polynomials for solving the chaotic lorenz system
publisher	Walter de Gruyter GmbH
publishDate	2023
_version_	1806424544639975424
score	13.211869

Enhanced variational iteration method using adomian polynomials for solving the chaotic lorenz system

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