A Trigonometric Quintic B-Spline Basis Collocation Method for the KdV-Kawahara Equation

Basit Öğe Kaydı
dc.authoridKaraagac, Berat/0000-0002-6020-3243
dc.authoridOwolabi, Kolade Matthew/0000-0001-9290-3458
dc.authorwosidKaraagac, Berat/E-6311-2019
dc.authorwosidOwolabi, Kolade Matthew/AAA-2307-2019
dc.contributor.authorKaraagac, B.
dc.contributor.authorEsen, A.
dc.contributor.authorOwolabi, K. M.
dc.contributor.authorPindza, E.
dc.date.accessioned2024-08-04T20:54:42Z
dc.date.available2024-08-04T20:54:42Z
dc.date.issued2023
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis paper considers an effective numerical collocation method for numerical solution of the KdV-Kawahara equation. This numerical method relies on a finite element formulation and spline interpolation with a trigonometric quintic B-spline basis. First, the KdV-Kawahara equation is reduced to a coupled equation via an auxiliary variable of the form v = u(xxx). The collocation method is then applied to the coupled equation together with the forward difference and the Crank-Nicholson formula. This results in a systemof algebraic equations in terms of time variables with the trigonometric quintic B-spline basis. For determination of the error between the numerical and exact solutions, the error norms L-2 and L-infinity are calculated. The results are illustrated by two numerical examples with their graphical representation and comparison with other methods.en_US
dc.identifier.doi10.1134/S1995423923030035
dc.identifier.endpage228en_US
dc.identifier.issn1995-4239
dc.identifier.issn1995-4247
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85171884540en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage216en_US
dc.identifier.urihttps://doi.org/10.1134/S1995423923030035
dc.identifier.urihttps://hdl.handle.net/11616/101584
dc.identifier.volume16en_US
dc.identifier.wosWOS:001068710000003en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSiberian Branch Russian Acad Sciencesen_US
dc.relation.ispartofNumerical Analysis and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectKdV-Kawahara equationen_US
dc.subjectcollocation methoden_US
dc.subjecttrigonometric quintic B-spline basisen_US
dc.subjectstabilityen_US
dc.titleA Trigonometric Quintic B-Spline Basis Collocation Method for the KdV-Kawahara Equationen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu