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A multistage variational iteration method for solution of delay differential equations

MakaleYalnız künye

Özet

In this paper, the approximate solution of delay differential equations is obtained by a reliable algorithm based on an adaptation of the classical variational iteration method (VIM), which is called the multi-stage variational iteration method (MSVIM). Examples are carried out and numerical results with comparison to exact solutions, VIM and MATLAB dde23 solver are given. The comparison reveals that the MSVIM is a promising tool to solve delay differential equations.

Anahtar Kelimeler

Dde23 solverDelay differential equationsNumerical solutionVariational iteration method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15650Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1515/ijnsns-2011-0180Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorGökdoǧan, Ahmet
dc.contributor.authorMerdan, Mehmet
dc.contributor.authorErtürk, Vedat Suat
dc.date.accessioned2026-10-22T10:24:20.274323034Z
dc.date.available2026-10-22T10:24:20.274323034Z
dc.date.issued2013
dc.description.abstractIn this paper, the approximate solution of delay differential equations is obtained by a reliable algorithm based on an adaptation of the classical variational iteration method (VIM), which is called the multi-stage variational iteration method (MSVIM). Examples are carried out and numerical results with comparison to exact solutions, VIM and MATLAB dde23 solver are given. The comparison reveals that the MSVIM is a promising tool to solve delay differential equations.
dc.identifier.doi10.1515/ijnsns-2011-0180
dc.identifier.endpage166
dc.identifier.issn1565-1339
dc.identifier.issue3-4
dc.identifier.scopus2-s2.0-84888607130
dc.identifier.startpage159
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15650
dc.identifier.volume14
dc.identifier.wosWOS:000324424200001
dc.language.isoen
dc.publisherWALTER DE GRUYTER GMBH
dc.relation.ispartofInternational Journal of Nonlinear Sciences and Numerical Simulation
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectDde23 solver
dc.subjectDelay differential equations
dc.subjectNumerical solution
dc.subjectVariational iteration method
dc.subject.classificationEngineering, Multidisciplinary
dc.subject.classificationMathematics, Applied
dc.subject.classificationMechanics
dc.subject.classificationPhysics, Mathematical
dc.subject.classificationEngineering
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherASYMPTOTIC STABILITY
dc.subject.otherSYSTEM
dc.titleA multistage variational iteration method for solution of delay differential equations
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex4
rdl.citation.scopus3
rdl.citation.wos2
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)