A Lumped Galerkin finite element method for the generalized Hirota-Satsuma coupled KdV and coupled MKdV equations

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authoridKaraagac, Berat/0000-0002-6020-3243
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.authorwosidEsen, Alaattin/F-2415-2016
dc.authorwosidKaraagac, Berat/E-6311-2019
dc.contributor.authorYagmurlu, Nuri Murat
dc.contributor.authorKaraagac, Berat
dc.contributor.authorEsen, Alaattin
dc.date.accessioned2024-08-04T20:56:20Z
dc.date.available2024-08-04T20:56:20Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present study, a Lumped Galerkin finite element method using quadratic B-splines has been applied to the generalized Hirota-Satsuma coupled Korteweg de Vries (KdV) and coupled modified Korteweg-de Vries (mKdV) equations. The numerical solutions of discretized equations using Lumped Galerkin finite element method have been obtained using the fourth order Runge-Kutta method which is widely used for the solution of ordinary differential equation system. The numerical solutions obtained for various space and time values have been compared with exact ones using the error norms L-2 and L-infinity. Lumped Galerkin finite element method is an effective one which can be applied to a wide range of nonlinear evolution equations.en_US
dc.identifier.doi10.32513/tbilisi/1569463241
dc.identifier.endpage173en_US
dc.identifier.issn1875-158X
dc.identifier.issn1512-0139
dc.identifier.issue3en_US
dc.identifier.startpage159en_US
dc.identifier.urihttps://doi.org/10.32513/tbilisi/1569463241
dc.identifier.urihttps://hdl.handle.net/11616/102197
dc.identifier.volume12en_US
dc.identifier.wosWOS:000488049100011en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherTbilisi Centre Math Scien_US
dc.relation.ispartofTbilisi Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectthe generalized Hirota-Satsuma coupled KdV and coupled mKdVen_US
dc.subjectfinite element methoden_US
dc.subjectGalerkin methoden_US
dc.subjectB-splineen_US
dc.subjectRunge-Kuttaen_US
dc.titleA Lumped Galerkin finite element method for the generalized Hirota-Satsuma coupled KdV and coupled MKdV equationsen_US
dc.typeArticleen_US

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