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Variational iteration method as a reliable treatment for the hyperchaotic r�ssler system

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dc.citedby23
dc.contributor.authorGoh S.M.en_US
dc.contributor.authorNoorani M.S.N.en_US
dc.contributor.authorHashim I.en_US
dc.contributor.authorAl-Sawalha M.M.en_US
dc.contributor.authorid25521891600en_US
dc.contributor.authorid6603683028en_US
dc.contributor.authorid10043682500en_US
dc.contributor.authorid55664495900en_US
dc.date.accessioned2023-12-29T07:54:22Z
dc.date.available2023-12-29T07:54:22Z
dc.date.issued2009
dc.description.abstractThis paper concerns the implementation of variational iteration method (VIM) in solving the hyperchaotic R�ssler analytically. It is a four dimensional system of ODEs with quadratic nonlinearities. The computation was made using a newly found version called the multistage VIM (MVIM) which offers some slight modification to the traditional VIM. Numerical comparisons are made between MVIM and the classical fourth-order Runge-Kutta (RK4) with results displaying extremely good performance by MVIM, yielding great accuracy and efficiency. It is also evident that MVIM surpasses (in terms of accuracy) its two counterparts, the Adomian decomposition method (ADM) and Differential transformation method (DTM).en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1515/IJNSNS.2009.10.3.363
dc.identifier.epage371
dc.identifier.issue3
dc.identifier.scopus2-s2.0-65349085485
dc.identifier.spage363
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-65349085485&doi=10.1515%2fIJNSNS.2009.10.3.363&partnerID=40&md5=cc5d257369f0e27eead34e75cab92be3
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/30840
dc.identifier.volume10
dc.pagecount8
dc.publisherFreund Publishing House Ltden_US
dc.sourceScopus
dc.sourcetitleInternational Journal of Nonlinear Sciences and Numerical Simulation
dc.subjectHyperchaotic
dc.subjectR�ssler system
dc.subjectRunge-kutta method
dc.subjectVariational iteration method
dc.titleVariational iteration method as a reliable treatment for the hyperchaotic r�ssler systemen_US
dc.typeArticleen_US
dspace.entity.typePublication
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