A new numerical approach to Gardner Kawahara equation in magneto-acoustic waves in plasma physics

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dc.authoridKaraagac, Berat/0000-0002-6020-3243
dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authorwosidKaraagac, Berat/E-6311-2019
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.authorwosidEsen, Alaattin/F-2415-2016
dc.contributor.authorUcar, Yusuf
dc.contributor.authorYagmurlu, Nuri Murat
dc.contributor.authorEsen, Alaattin
dc.contributor.authorKaraagac, Berat
dc.date.accessioned2024-08-04T20:53:24Z
dc.date.available2024-08-04T20:53:24Z
dc.date.issued2023
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe basic idea of this article is to investigate the numerical solutions of Gardner Kawahara equation, a particular case of extended Korteweg-de Vries equation, by means of finite element method. For this purpose, a collocation finite element method based on trigono-metric quintic B-spline basis functions is presented. The standard finite difference method is used to discretize time derivative and Crank-Nicolson approach is used to obtain more accurate numerical results. Then, von Neumann stability analysis is performed for the numerical scheme obtained using collocation finite element method. Several numerical examples are presented and discussed to exhibit the feasibility and capability of the finite element method and trigonometric B-spline basis functions. More specifically, the error norms L-2 and L-infinity are reported for numerous time and space discretization values in tables. Graphical representations of the solutions describing motion of wave are presented.en_US
dc.identifier.doi10.1002/fld.5181
dc.identifier.endpage991en_US
dc.identifier.issn0271-2091
dc.identifier.issn1097-0363
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85147506794en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage979en_US
dc.identifier.urihttps://doi.org/10.1002/fld.5181
dc.identifier.urihttps://hdl.handle.net/11616/101155
dc.identifier.volume95en_US
dc.identifier.wosWOS:000932596600001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofInternational Journal For Numerical Methods in Fluidsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectcollocationen_US
dc.subjectGardner-Kawahara equationen_US
dc.subjectquintic trigonometric B-splinesen_US
dc.titleA new numerical approach to Gardner Kawahara equation in magneto-acoustic waves in plasma physicsen_US
dc.typeArticleen_US

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