Differential Quadrature Solution of Nonlinear Klein-Gordon and Sine-Gordon Equations

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dc.authoridPekmen Geridonmez, Bengisen/0000-0002-3073-6284
dc.authoridTezer-Sezgin, Munevver/0000-0001-5439-3477
dc.authorscopusid57200550143
dc.authorscopusid35071900400
dc.authorwosidtezer-sezgin, münevver/AAB-3269-2022
dc.authorwosidPekmen Geridonmez, Bengisen/G-5598-2018
dc.contributor.authorPekmen, B.
dc.contributor.authorPekmen, Bengisen
dc.contributor.authorTezer-Sezgin, M.
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T14:28:01Z
dc.date.available2024-07-05T14:28:01Z
dc.date.issued2012
dc.departmentAtılım Universityen_US
dc.department-temp[Tezer-Sezgin, M.] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey; [Pekmen, B.; Tezer-Sezgin, M.] Middle E Tech Univ, Dept Comp Sci, Inst Appl Math, TR-06531 Ankara, Turkey; [Pekmen, B.] Atilim Univ, Dept Math, Ankara, Turkeyen_US
dc.descriptionPekmen Geridonmez, Bengisen/0000-0002-3073-6284; Tezer-Sezgin, Munevver/0000-0001-5439-3477en_US
dc.description.abstractDifferential quadrature method (DQM) is proposed to solve the one-dimensional quadratic and cubic Klein-Gordon equations, and two-dimensional sine-Gordon equation. We apply DQM in space direction and also blockwise in time direction. Initial and derivative boundary conditions are also approximated by DQM. DQM provides one to obtain numerical results with very good accuracy using considerably small number of grid points. Numerical solutions are obtained by using Gauss-Chebyshev-Lobatto (GCL) grid points in space intervals, and GCL grid points in each equally divided time blocks. (C) 2012 Elsevier B.V. All rights reserved.en_US
dc.identifier.citation37
dc.identifier.doi10.1016/j.cpc.2012.03.010
dc.identifier.endpage1713en_US
dc.identifier.issn0010-4655
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-84860271853
dc.identifier.startpage1702en_US
dc.identifier.urihttps://doi.org/10.1016/j.cpc.2012.03.010
dc.identifier.urihttps://hdl.handle.net/20.500.14411/337
dc.identifier.volume183en_US
dc.identifier.wosWOS:000304384500017
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectKlein-Gordon equationen_US
dc.subjectSine-Gordon equationen_US
dc.subjectDifferential quadrature methoden_US
dc.titleDifferential Quadrature Solution of Nonlinear Klein-Gordon and Sine-Gordon Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery7ca54091-b6a4-418c-ab3c-7bb6aa482eac
relation.isOrgUnitOfPublication31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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