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A new application of variational iteration method for the chaotic R�ssler system

dc.citedby8
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.accessioned2023-12-29T07:53:37Z
dc.date.available2023-12-29T07:53:37Z
dc.date.issued2009
dc.description.abstractThis paper emphasizes the strength of variational iteration method (VIM) in numerically solving the chaotic R�ssler system. The R�ssler system is a three-dimensional system of ODEs with quadratic nonlinearities. An adaptation of the VIM was implemented and is called the multistage VIM (MVIM). Numerical comparisons are made between MVIM and the classical fourth-order Runge-Kutta (RK4) with results showing extremely good performance by MVIM, yielding great accuracy and efficiency. � 2009 Elsevier Ltd. All rights reserved.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1016/j.chaos.2009.03.032
dc.identifier.epage1610
dc.identifier.issue3
dc.identifier.scopus2-s2.0-67650383507
dc.identifier.spage1604
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-67650383507&doi=10.1016%2fj.chaos.2009.03.032&partnerID=40&md5=e93af2f5c5f5a4b05e04a59b78ef4de2
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/30805
dc.identifier.volume42
dc.pagecount6
dc.publisherElsevier Ltden_US
dc.sourceScopus
dc.sourcetitleChaos, Solitons and Fractals
dc.subjectRunge Kutta methods
dc.subjectFourth-order runge-kutta
dc.subjectNew applications
dc.subjectNumerical comparison
dc.subjectQuadratic nonlinearities
dc.subjectThree dimensional systems
dc.subjectVariational iteration method
dc.subjectIterative methods
dc.titleA new application of variational iteration method for the chaotic R�ssler systemen_US
dc.typeArticleen_US
dspace.entity.typePublication
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