High order accurate method for the numerical solution of the second order linear hyperbolic telegraph equation

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dc.authoridKırlı, Emre/0000-0002-5704-2370|Irk, Dursun/0000-0002-3340-1578
dc.authorwosidKırlı, Emre/AEA-7875-2022
dc.contributor.authorKirli, Emre
dc.contributor.authorIrk, Dursun
dc.contributor.authorZorsahin Gorgulu, Melis
dc.date.accessioned2024-07-18T20:40:03Z
dc.date.available2024-07-18T20:40:03Z
dc.date.issued2023
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractIn this study, the Galerkin finite element method is applied to get the numerical solution of the linear telegraph equation by using cubic B-spline function. Differently from the existing studies, the fourth order one-step method is used to discretize in time the telegraph equation. The efficiency and accuracy of the proposed method is studied by three examples. The obtained results are shown that the proposed method has a higher accuracy.en_US
dc.description.sponsorshipScientific Research Council of Eskisehir Osmangazi University; [2018-2090]en_US
dc.description.sponsorshipACKNOWLEDGMENTS This work was supported by the Scientific Research Council of Eskisehir Osmangazi University under Project No. 2018-2090.en_US
dc.identifier.doi10.1002/num.22957
dc.identifier.endpage2072en_US
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85142663112en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage2060en_US
dc.identifier.urihttps://doi.org/10.1002/num.22957
dc.identifier.urihttps://hdl.handle.net/11411/6945
dc.identifier.volume39en_US
dc.identifier.wosWOS:000889093200001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofNumerical Methods for Partial Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCubic B-Spline Functionen_US
dc.subjectFinite Difference Methoden_US
dc.subjectFinite Element Methoden_US
dc.subjectFourth Order One-Step Methoden_US
dc.subjectGalerkin Methoden_US
dc.subjectSecond Order Linearen_US
dc.subjectDifference Schemeen_US
dc.subjectAlgorithmen_US
dc.titleHigh order accurate method for the numerical solution of the second order linear hyperbolic telegraph equationen_US
dc.typeArticleen_US

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