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Numerical solutions of linear differential-algebraic equation systems via Hartley series

BildiriYalnız künye

Özet

In this paper, Hartley series are presented first. Then, the operational matrix of integration together with the product and coefficient matrices are presented. They are used to transform linear differential equation systems to a set of linear algebraic equations. Finally, numerical examples are given.

Anahtar Kelimeler

ApproximationHartley seriesLinear differential equation systemsLinear differential-algebraic equation systems
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15663Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/1.4893849Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÜnal, Emrah
dc.contributor.authorYalçin, Numan
dc.contributor.authorÇelik, Ercan
dc.contributor.editorAshyralyev, A
dc.contributor.editorMalkowsky, E
dc.date.accessioned2026-10-22T10:24:21.309111028Z
dc.date.available2026-10-22T10:24:21.309111028Z
dc.date.issued2014
dc.description.abstractIn this paper, Hartley series are presented first. Then, the operational matrix of integration together with the product and coefficient matrices are presented. They are used to transform linear differential equation systems to a set of linear algebraic equations. Finally, numerical examples are given.
dc.identifier.doi10.1063/1.4893849
dc.identifier.endpage295
dc.identifier.isbn978-073541247-7
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-84907371522
dc.identifier.startpage290
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15663
dc.identifier.volume1611
dc.identifier.wosWOS:000343720600056
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.conference2nd International Conference on Analysis and Applied Mathematics, ICAAM 2014
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectApproximation
dc.subjectHartley series
dc.subjectLinear differential equation systems
dc.subjectLinear differential-algebraic equation systems
dc.subject.classificationMathematics, Applied
dc.subject.classificationPhysics, Applied
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherAlgebra
dc.subject.otherDifferential equations
dc.subject.otherLinear equations
dc.subject.otherMathematical transformations
dc.subject.otherApproximation
dc.subject.otherCoefficient matrix
dc.subject.otherDifferential algebraic equations
dc.subject.otherHartley series
dc.subject.otherLinear algebraic equation
dc.subject.otherLinear differential equation
dc.subject.otherNumerical solution
dc.subject.otherOperational matrix of integration
dc.subject.otherMatrix algebra
dc.titleNumerical solutions of linear differential-algebraic equation systems via Hartley series
dc.typeConference Object
dspace.entity.typePublication
rdl.citation.openalex0
rdl.citation.scopus0
rdl.citation.wos0
rdl.conference.date11 September 2014 through 13 September 2014
rdl.conference.placeShymkent
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)