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

dc.authorid Pekmen Geridonmez, Bengisen/0000-0002-3073-6284
dc.authorid Tezer-Sezgin, Munevver/0000-0001-5439-3477
dc.authorscopusid 57200550143
dc.authorscopusid 35071900400
dc.authorwosid tezer-sezgin, münevver/AAB-3269-2022
dc.authorwosid Pekmen Geridonmez, Bengisen/G-5598-2018
dc.contributor.author Pekmen, B.
dc.contributor.author Tezer-Sezgin, M.
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T14:28:01Z
dc.date.available 2024-07-05T14:28:01Z
dc.date.issued 2012
dc.department Atılım University en_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, Turkey en_US
dc.description Pekmen Geridonmez, Bengisen/0000-0002-3073-6284; Tezer-Sezgin, Munevver/0000-0001-5439-3477 en_US
dc.description.abstract Differential 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.citationcount 37
dc.identifier.doi 10.1016/j.cpc.2012.03.010
dc.identifier.endpage 1713 en_US
dc.identifier.issn 0010-4655
dc.identifier.issue 8 en_US
dc.identifier.scopus 2-s2.0-84860271853
dc.identifier.startpage 1702 en_US
dc.identifier.uri https://doi.org/10.1016/j.cpc.2012.03.010
dc.identifier.uri https://hdl.handle.net/20.500.14411/337
dc.identifier.volume 183 en_US
dc.identifier.wos WOS:000304384500017
dc.identifier.wosquality Q1
dc.institutionauthor Pekmen, Bengisen
dc.language.iso en en_US
dc.publisher Elsevier Science Bv en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 40
dc.subject Klein-Gordon equation en_US
dc.subject Sine-Gordon equation en_US
dc.subject Differential quadrature method en_US
dc.title Differential Quadrature Solution of Nonlinear Klein-Gordon and Sine-Gordon Equations en_US
dc.type Article en_US
dc.wos.citedbyCount 38
dspace.entity.type Publication
relation.isAuthorOfPublication 7ca54091-b6a4-418c-ab3c-7bb6aa482eac
relation.isAuthorOfPublication.latestForDiscovery 7ca54091-b6a4-418c-ab3c-7bb6aa482eac
relation.isOrgUnitOfPublication 31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

Files

Collections