Application of Galerkin's method to equal width wave equation

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dc.contributor.authorDogan A.
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2005
dc.departmentNiğde ÖHÜ
dc.description.abstractThe non-linear equal width equation is solved by Galerkin's method using linear finite elements. A linear recurrence relationship for the numerical solution of the resulting system of ordinary differential equations is found employing the Crank-Nicolson approach including a product approximation. The three invariants of the motion are calculated to determine the conservation properties of the system. L2 and L? error norms are used to measure differences between the exact and numerical solutions. The simulations of solitary wave motion are used to determine the properties of the algorithm. Finally, the development of an undular bore is studied. © 2003 Elsevier Inc. All rights reserved.
dc.description.sponsorshipNational Council for Scientific Research
dc.description.sponsorshipAuthor gratefully acknowledges a grant in scope of the NATO Science Fellowship Programme by the Scientific and Technical Research Council of Turkey (TUBITAK).
dc.identifier.doi10.1016/j.amc.2003.08.105
dc.identifier.endpage76
dc.identifier.issn0096-3003
dc.identifier.issue1
dc.identifier.scopus2-s2.0-8344282757
dc.identifier.scopusqualityQ1
dc.identifier.startpage65
dc.identifier.urihttps://dx.doi.org/10.1016/j.amc.2003.08.105
dc.identifier.urihttps://hdl.handle.net/11480/1289
dc.identifier.volume160
dc.identifier.wosWOS:000225269700006
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorDogan A.
dc.language.isoen
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectEqual width equation
dc.subjectFinite element methods
dc.subjectGalerkin
dc.subjectUndular bore
dc.titleApplication of Galerkin's method to equal width wave equation
dc.typeArticle

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