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

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dc.citedby14
dc.contributor.authorGoh S.M.en_US
dc.contributor.authorNoorani M.S.M.en_US
dc.contributor.authorHashim I.en_US
dc.contributor.authorid25521891600en_US
dc.contributor.authorid6603683028en_US
dc.contributor.authorid10043682500en_US
dc.date.accessioned2023-12-29T07:51:16Z
dc.date.available2023-12-29T07:51:16Z
dc.date.issued2010
dc.description.abstractThis 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.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1007/s11075-009-9333-9
dc.identifier.epage260
dc.identifier.issue2
dc.identifier.scopus2-s2.0-77952008913
dc.identifier.spage245
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-77952008913&doi=10.1007%2fs11075-009-9333-9&partnerID=40&md5=2a6af324d4746a115761f889d4f78312
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/30678
dc.identifier.volume54
dc.pagecount15
dc.sourceScopus
dc.sourcetitleNumerical Algorithms
dc.subjectAdomian polynomials
dc.subjectChen system
dc.subjectRunge-Kutta method
dc.subjectVariational iteration method
dc.titleOn solving the chaotic Chen system: A new time marching design for the variational iteration method using Adomian's polynomialen_US
dc.typeArticleen_US
dspace.entity.typePublication
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