Differential Quadrature Solution of Nonlinear Klein-Gordon and Sine-Gordon Equations
| dc.contributor.author | Pekmen, B. | |
| dc.contributor.author | Tezer-Sezgin, M. | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:28:01Z | |
| dc.date.available | 2024-07-05T14:28:01Z | |
| dc.date.issued | 2012 | |
| 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.doi | 10.1016/j.cpc.2012.03.010 | |
| dc.identifier.issn | 0010-4655 | |
| dc.identifier.scopus | 2-s2.0-84860271853 | |
| 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.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.relation.ispartof | Computer Physics Communications | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| 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 |
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| gdc.author.id | Pekmen Geridonmez, Bengisen/0000-0002-3073-6284 | |
| gdc.author.id | Tezer-Sezgin, Munevver/0000-0001-5439-3477 | |
| gdc.author.institutional | Pekmen, Bengisen | |
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| gdc.author.wosid | tezer-sezgin, münevver/AAB-3269-2022 | |
| gdc.author.wosid | Pekmen Geridonmez, Bengisen/G-5598-2018 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [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 |
| gdc.description.endpage | 1713 | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 1702 | en_US |
| gdc.description.volume | 183 | en_US |
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