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dc.contributor.authorÖzdemir, Neslihan
dc.contributor.authorSeçer, Aydın
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2019-08-28T20:38:43Z
dc.date.available2019-08-28T20:38:43Z
dc.date.issued2019en_US
dc.identifier.issn2227-7390
dc.identifier.urihttps://hdl.handle.net/11363/1416
dc.description.abstractIn this study, Gegenbauer wavelets are used to present two numerical methods for solving the coupled system of Burgers' equations with a time-fractional derivative. In the presented methods, we combined the operational matrix of fractional integration with the Galerkin method and the collocation method to obtain a numerical solution of the coupled system of Burgers' equations with a time-fractional derivative. The properties of Gegenbauer wavelets were used to transform this system to a system of nonlinear algebraic equations in the unknown expansion coefficients. The Galerkin method and collocation method were used to find these coefficients. The main aim of this study was to indicate that the Gegenbauer wavelets-based methods is suitable and efficient for the coupled system of Burgers' equations with time-fractional derivative. The obtained results show the applicability and efficiency of the presented Gegenbaur wavelets-based methods.en_US
dc.language.isoengen_US
dc.publisherMDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLANDen_US
dc.relation.isversionof10.3390/math7060486en_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.subjectGegenbauer waveletsen_US
dc.subjectcoupled Burgers' equationsen_US
dc.subjectoperational matrix of fractional integrationen_US
dc.subjectGalerkin methoden_US
dc.subjectcollocation methoden_US
dc.subjectPARTIAL-DIFFERENTIAL-EQUATIONSen_US
dc.subjectNUMERICAL-SOLUTIONSen_US
dc.subjectCOLLOCATION METHODen_US
dc.subjectSPECTRAL METHODSen_US
dc.titleThe Gegenbauer Wavelets-Based Computational Methods for the Coupled System of Burgers' Equations with Time-Fractional Derivativeen_US
dc.typearticleen_US
dc.relation.journalMATHEMATICSen_US
dc.contributor.departmentMühendislik ve Mimarlık Fakültesien_US
dc.identifier.volume7en_US
dc.identifier.issue6en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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