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The modified algorithm for the differential transform method to solution of Genesio systems

MakaleYalnız künye

Özet

In this article, approximate analytical solution of chaotic Genesio system is acquired by the modified differential transform method (MDTM). The differential transform method (DTM) is mentioned in summary. MDTM can be obtained from DTM applied to Laplace, inverse Laplace transform and Padé approximant. The MDTM is used to increase the accuracy and accelerate the convergence rate of truncated series solution getting by the DTM. Results are given with tables and figures.

Anahtar Kelimeler

Genesio systemsPadé approximantThe differential transform method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15761Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.cnsns.2011.03.039Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorGökdoĝan, Ahmet
dc.contributor.authorMerdan, Mehmet
dc.contributor.authorYildirim, Ahmet
dc.date.accessioned2026-10-22T10:24:29.502726893Z
dc.date.available2026-10-22T10:24:29.502726893Z
dc.date.issued2012
dc.description.abstractIn this article, approximate analytical solution of chaotic Genesio system is acquired by the modified differential transform method (MDTM). The differential transform method (DTM) is mentioned in summary. MDTM can be obtained from DTM applied to Laplace, inverse Laplace transform and Padé approximant. The MDTM is used to increase the accuracy and accelerate the convergence rate of truncated series solution getting by the DTM. Results are given with tables and figures.
dc.identifier.doi10.1016/j.cnsns.2011.03.039
dc.identifier.eissn1878-7274
dc.identifier.endpage51
dc.identifier.issn1007-5704
dc.identifier.issue1
dc.identifier.scopus2-s2.0-79961027582
dc.identifier.startpage45
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15761
dc.identifier.volume17
dc.identifier.wosWOS:000295995300006
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectGenesio systems
dc.subjectPadé approximant
dc.subjectThe differential transform method
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics, Interdisciplinary Applications
dc.subject.classificationMechanics
dc.subject.classificationPhysics, Fluids & Plasmas
dc.subject.classificationPhysics, Mathematical
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherApproximants
dc.subject.otherApproximate analytical solutions
dc.subject.otherChaotics
dc.subject.otherConvergence rates
dc.subject.otherGenesio systems
dc.subject.otherInverse Laplace transform
dc.subject.otherModified algorithms
dc.subject.otherPadé approximant
dc.subject.otherThe differential transform method
dc.subject.otherLaplace transforms
dc.titleThe modified algorithm for the differential transform method to solution of Genesio systems
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex63
rdl.citation.scopus51
rdl.citation.wos40
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)