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Numerical solution of time-fraction modified equal width wave equation

MakaleYalnız künye

Özet

Purpose - The purpose of this paper is to show how an application of fractional two dimensional differential transformation method (DTM) obtained approximate analytical solution of time-fraction modified equal width wave (MEW) equation. Design/methodology/approach - The fractional derivative is described in the Caputo sense. Findings - It is indicated that the solutions obtained by the two dimensional DTM are reliable and that this is an effective method for strongly nonlinear partial equations. Originality/value - The paper shows that exact solutions can also be obtained from the known forms of the series solutions.

Anahtar Kelimeler

Caputo derivativeDifferential equationsMathematical analysisTime-fraction modified equal width wave equationTransformsTwo dimensional differential transformation method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/13109Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1108/02644401211257254Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorMerdan, Mehmet
dc.contributor.authorYildirim, Ahmet
dc.contributor.authorGökdoǧan, Ahmet
dc.date.accessioned2026-10-22T10:20:56.210847426Z
dc.date.available2026-10-22T10:20:56.210847426Z
dc.date.issued2012
dc.description.abstractPurpose - The purpose of this paper is to show how an application of fractional two dimensional differential transformation method (DTM) obtained approximate analytical solution of time-fraction modified equal width wave (MEW) equation. Design/methodology/approach - The fractional derivative is described in the Caputo sense. Findings - It is indicated that the solutions obtained by the two dimensional DTM are reliable and that this is an effective method for strongly nonlinear partial equations. Originality/value - The paper shows that exact solutions can also be obtained from the known forms of the series solutions.
dc.identifier.doi10.1108/02644401211257254
dc.identifier.eissn1758-7077
dc.identifier.endpage777
dc.identifier.issn0264-4401
dc.identifier.issue7
dc.identifier.scopus2-s2.0-84867019649
dc.identifier.startpage766
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/13109
dc.identifier.volume29
dc.identifier.wosWOS:000312474500006
dc.language.isoen
dc.publisherEMERALD GROUP PUBLISHING LTD
dc.relation.ispartofEngineering Computations (Swansea, Wales)
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCaputo derivative
dc.subjectDifferential equations
dc.subjectMathematical analysis
dc.subjectTime-fraction modified equal width wave equation
dc.subjectTransforms
dc.subjectTwo dimensional differential transformation method
dc.subject.classificationComputer Science, Interdisciplinary Applications
dc.subject.classificationEngineering, Multidisciplinary
dc.subject.classificationMathematics, Interdisciplinary Applications
dc.subject.classificationMechanics
dc.subject.classificationComputer Science
dc.subject.classificationEngineering
dc.subject.classificationMathematics
dc.subject.otherDifferential equations
dc.subject.otherMathematical transformations
dc.subject.otherTwo dimensional
dc.subject.otherApproximate analytical solutions
dc.subject.otherCaputo derivatives
dc.subject.otherCaputo sense
dc.subject.otherDesign/methodology/approach
dc.subject.otherDifferential transformation methods
dc.subject.otherEqual width wave equations
dc.subject.otherExact solution
dc.subject.otherFractional derivatives
dc.subject.otherMathematical analysis
dc.subject.otherNumerical solution
dc.subject.otherSeries solutions
dc.subject.otherStrongly nonlinear
dc.subject.otherNonlinear equations
dc.titleNumerical solution of time-fraction modified equal width wave equation
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex15
rdl.citation.scopus10
rdl.citation.wos10
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)