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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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 |
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Adomian polynomials Lorenz system Runge-Kutta method Variational iteration method |
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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 |
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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. |
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25521891600 |
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25521891600 Goh S.M. Mossa Al-Sawalha M. Noorani M.S.M. Hashim I. |
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Article |
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Goh S.M. Mossa Al-Sawalha M. Noorani M.S.M. Hashim I. |
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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 |
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Walter de Gruyter GmbH |
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2023 |
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1806424544639975424 |
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13.222552 |