Dynamics of modified improved Boussinesq equation via Galerkin Finite Element Method

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dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridKaraagac, Berat/0000-0002-6020-3243
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidKaraagac, Berat/E-6311-2019
dc.contributor.authorKaraagac, Berat
dc.contributor.authorUcar, Yusuf
dc.contributor.authorEsen, Alaattin
dc.date.accessioned2024-08-04T20:48:45Z
dc.date.available2024-08-04T20:48:45Z
dc.date.issued2020
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe aim of this paper is to investigate numerical solutions of modified improved Boussinesq (MIBq) equationutt=uxx+alpha mml:mfenced close=) open=( separators=u3xx+uxxtt, which is a modified type of Boussinesq equations born as an art of modelling water-wave problems in weakly dispersive medium such as surface waves in shallow waters or ion acoustic waves. For this purpose, Lumped Galerkin finite element (LGFE) method, an effective, accurate, and cost-effective method, is applied to model equation by the aid of quadratic B-spline basis. The efficiency and accuracy of the method are tested with two problems, namely, propagation solitary wave and interaction of two solitary waves. The error normsL(2)andL(infinity)have been computed in order to measure how accurate the numerical solutions. Also, the stability analysis has been investigated.en_US
dc.identifier.doi10.1002/mma.6687
dc.identifier.endpage10220en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue17en_US
dc.identifier.scopus2-s2.0-85089011128en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage10204en_US
dc.identifier.urihttps://doi.org/10.1002/mma.6687
dc.identifier.urihttps://hdl.handle.net/11616/99440
dc.identifier.volume43en_US
dc.identifier.wosWOS:000555428500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in The Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectfinite element methoden_US
dc.subjectinteractionen_US
dc.subjectLumped Galerkin methoden_US
dc.subjectmodified improved Boussinesq equationen_US
dc.subjectquadratic B-splineen_US
dc.subjectsolitary wavesen_US
dc.titleDynamics of modified improved Boussinesq equation via Galerkin Finite Element Methoden_US
dc.typeArticleen_US

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