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Adaptive multi-step differential transformation method to solve ODE systems

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Özet

In this paper, it is given a fast algorithm to solve chaotic differential systems using the multi-step differential transforms method (MsDTM). The approach is applied to a number of chaotic nonlinear differential equations and numerical results are given. Performance analyses reveal that the proposed approach is an efficiency tool to solve using fewer time step to the considered equation systems.

Anahtar Kelimeler

AdaptiveChaotic systemsRunge-Kutta methodThe differential transform method
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorGökdoǧan, Ahmet
dc.contributor.authorMerdan, Mehmet
dc.date.accessioned2026-10-22T10:24:30.676406299Z
dc.date.available2026-10-22T10:24:30.676406299Z
dc.date.issued2013
dc.description.abstractIn this paper, it is given a fast algorithm to solve chaotic differential systems using the multi-step differential transforms method (MsDTM). The approach is applied to a number of chaotic nonlinear differential equations and numerical results are given. Performance analyses reveal that the proposed approach is an efficiency tool to solve using fewer time step to the considered equation systems.
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of TURKEY)
dc.identifier.eissn2307-4116
dc.identifier.endpage55
dc.identifier.issn2307-4116
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84904514695
dc.identifier.startpage35
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15770
dc.identifier.volume40
dc.identifier.wosWOS:000333064600004
dc.language.isoen
dc.publisherUniversity of Kuwait
dc.relation.ispartofKuwait Journal of Science
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAdaptive
dc.subjectChaotic systems
dc.subjectRunge-Kutta method
dc.subjectThe differential transform method
dc.subject.classificationMultidisciplinary Sciences
dc.subject.classificationScience & Technology - Other Topics
dc.subject.otherBOUNDARY-VALUE-PROBLEMS
dc.subject.otherEQUATIONS
dc.subject.otherOSCILLATORS
dc.subject.otherBEAMS
dc.titleAdaptive multi-step differential transformation method to solve ODE systems
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus6
rdl.citation.wos4
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)