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
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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 13.222552