Publication:
Efficacy of variational iteration method for chaotic Genesio system - Classical and multistage approach

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dc.citedby30
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.accessioned2023-12-29T07:54:52Z
dc.date.available2023-12-29T07:54:52Z
dc.date.issued2009
dc.description.abstractThis is a case study of solving the Genesio system by using the classical variational iteration method (VIM) and a newly modified version called the multistage VIM (MVIM). VIM is an analytical technique that grants us a continuous representation of the approximate solution, which allows better information of the solution over the time interval. Unlike its counterpart, numerical techniques, such as the Runge-Kutta method, provide solutions only at two ends of the time interval (with condition that the selected time interval is adequately small for convergence). Furthermore, it offers approximate solutions in a discretized form, making it complicated in achieving a continuous representation. The explicit solutions through VIM and MVIM are compared with the numerical analysis of the fourth-order Runge-Kutta method (RK4). VIM had been successfully applied to linear and nonlinear systems of non-chaotic in nature and this had been testified by numerous scientists lately. Our intention is to determine whether VIM is also a feasible method in solving a chaotic system like Genesio. At the same time, MVIM will be applied to gauge its accuracy compared to VIM and RK4. Since, for most situations, the validity domain of the solutions is often an issue, we will consider a reasonably large time frame in our work. � 2007 Elsevier Ltd. All rights reserved.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1016/j.chaos.2007.10.003
dc.identifier.epage2159
dc.identifier.issue5
dc.identifier.scopus2-s2.0-65549135923
dc.identifier.spage2152
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-65549135923&doi=10.1016%2fj.chaos.2007.10.003&partnerID=40&md5=e71dde5251845310f89ca6f7eef57673
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/30862
dc.identifier.volume40
dc.pagecount7
dc.publisherElsevier Ltden_US
dc.sourceScopus
dc.sourcetitleChaos, Solitons and Fractals
dc.subjectChaotic systems
dc.subjectConvergence of numerical methods
dc.subjectIterative methods
dc.subjectApproximate solution
dc.subjectExplicit solutions
dc.subjectFourth-order runge-kutta methods (RK4)
dc.subjectGenesio systems
dc.subjectLinear and nonlinear systems
dc.subjectMultistage approach
dc.subjectNumerical techniques
dc.subjectVariational iteration method
dc.subjectRunge Kutta methods
dc.titleEfficacy of variational iteration method for chaotic Genesio system - Classical and multistage approachen_US
dc.typeArticleen_US
dspace.entity.typePublication
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