Polynomial Based Differential Quadrature for Numerical Solutions of Kuramoto-Sivashinsky Equation

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dc.authoridhttp://orcid.org/0000-0002-2994-7201en_US
dc.contributor.authorYiğit, Gülsemay
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2019-09-08T14:11:26Z
dc.date.available2019-09-08T14:11:26Z
dc.date.issued2019en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractIn this study, a numerical discrete derivative technique for solutions of Kuramoto-Sivashinksy equation is considered. According to the procedure, differential quadrature algorithm is adapted in space by using Chebyshev polynomials and explicit scheme is constructed to discretize time derivative. Sample problems are presented to support the idea. Numerical solutions are compared with exact solutions and also previous works. It is observed that the numerical solutions are well matched with the exact or existing solutions.en_US
dc.identifier.doi10.2298/TSCI180917337Yen_US
dc.identifier.endpageS137en_US
dc.identifier.issn0354-9836
dc.identifier.issn2334-7163
dc.identifier.scopus2-s2.0-85065178023en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpageS129en_US
dc.identifier.urihttps://hdl.handle.net/11363/1450
dc.identifier.urihttps://doi.org/
dc.identifier.volume23en_US
dc.identifier.wosWOS:000465190400014en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherVINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIAen_US
dc.relation.ispartofTHERMAL SCIENCEen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectKuramoto-Sivashinski equationen_US
dc.subjectdifferential quadratureen_US
dc.subjectChebyshev polynomialsen_US
dc.subjectSPLINE COLLOCATION METHODen_US
dc.subjectFAMILYen_US
dc.subjectThermodynamicsen_US
dc.subjectMathematicsen_US
dc.titlePolynomial Based Differential Quadrature for Numerical Solutions of Kuramoto-Sivashinsky Equationen_US
dc.typeArticleen_US

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