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dc.contributor.authorYüzbaşı, Şuayipen_US
dc.contributor.authorKaraçayır, Muraten_US
dc.date.accessioned2021-07-09T08:58:46Z
dc.date.available2021-07-09T08:58:46Z
dc.date.issued2021
dc.identifier.citationYüzbaşı, Ş. & Karaçayır, M. (2021). A Galerkin-like scheme to determine curves of constant breadth in Euclidean 3-space. TWMS Journal of Applied and Engineering Mathematics, 11(3), 646-658.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttps://hdl.handle.net/11729/3179
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/112-vol11-no3/725
dc.description.abstractThe main focus of this study is to obtain the approximate solutions of a first order linear differential equation system characterizing curves of constant breadth in Euclidean 3-space. For this purpose, we outline a polynomial-based method reminiscent of the Galerkin method. Considering the approximate solutions in the form of polynomials, we obtain some relations, which then give rise to a linear system of algebraic equations. The solution of this system gives the approximate solutions of the problem. Additionally, the technique of residual correction, which aims to reduce the error of the approximate solution by estimating this error, is discussed in some detail. The method and the residual correction technique are illustrated with three examples.en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_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.subjectCurves of constant breadthen_US
dc.subjectGalerkin methoden_US
dc.subjectNumerical solutionsen_US
dc.subjectResidual correctionen_US
dc.subjectSystems of linear differential equationsen_US
dc.titleA Galerkin-like scheme to determine curves of constant breadth in Euclidean 3-spaceen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal of Applied and Engineering Mathematicsen_US
dc.identifier.volume11
dc.identifier.issue3
dc.identifier.startpage646
dc.identifier.endpage658
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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