Numerical solutions of Boussinesq equation using Galerkin finite element method

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authoridKaraagac, Berat/0000-0002-6020-3243
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.authorwosidKaraagac, Berat/E-6311-2019
dc.contributor.authorUcar, Yusuf
dc.contributor.authorEsen, Alaattin
dc.contributor.authorKaraagac, Berat
dc.date.accessioned2024-08-04T20:49:03Z
dc.date.available2024-08-04T20:49:03Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this study, Galerkin finite element method has been applied to good Boussinesq (GBq) and bad Boussinesq (BBq) equations which are examples of Boussinesq type equations. To apply the method, cubic B-spline basis functions are taken as element and weight functions. The solutions of the numerical schemes have been obtained using the fourth order Runge-Kutta method. The error norms L-2 and L-infinity have been used to test how compatible they obtained numerical solutions with those of exact ones. As numerical examples, solitary wave motion and interaction of solitary waves have been investigated for both GBq and BBq equation. Also blow-up solutions related to the interaction of two solitary waves are considered for GBq equation.en_US
dc.identifier.doi10.1002/num.22600
dc.identifier.endpage1630en_US
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85094178770en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1612en_US
dc.identifier.urihttps://doi.org/10.1002/num.22600
dc.identifier.urihttps://hdl.handle.net/11616/99604
dc.identifier.volume37en_US
dc.identifier.wosWOS:000585949500001en_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.subjectbad Boussinesq equationen_US
dc.subjectB-splineen_US
dc.subjectfinite element methoden_US
dc.subjectGalerkin methoden_US
dc.subjectgood Boussinesq equationen_US
dc.subjectinteractionen_US
dc.subjectRunge-Kutta methoden_US
dc.subjectsolitary waveen_US
dc.titleNumerical solutions of Boussinesq equation using Galerkin finite element methoden_US
dc.typeArticleen_US

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