Symplectic and multisymplectic Lobatto methods for the "good" Boussinesq equation
| dc.contributor.author | Aydin, A. | |
| dc.contributor.author | Karasoezen, B. | |
| dc.date.accessioned | 2024-07-05T14:34:20Z | |
| dc.date.available | 2024-07-05T14:34:20Z | |
| dc.date.issued | 2008 | |
| dc.description | Karasozen, Bulent/0000-0003-1037-5431 | en_US |
| dc.description.abstract | In this paper, we construct second order symplectic and multisymplectic integrators for the "good" Boussineq equation using the two-stage Lobatto IIIA-IIIB partitioned Runge-Kutta method, which yield an explicit scheme and is equivalent to the classical central difference approximation to the second order spatial derivative. Numerical dispersion properties and the stability of both integrators are investigated. Numerical results for different solitary wave solutions confirm the excellent long time behavior of symplectic and multisymplectic integrators by preservink local and global energy and momentum. (C) 2008 American Institute of Physics. | en_US |
| dc.identifier.doi | 10.1063/1.2970148 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.issn | 1089-7658 | |
| dc.identifier.scopus | 2-s2.0-50849138837 | |
| dc.identifier.uri | https://doi.org/10.1063/1.2970148 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1045 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Physics | en_US |
| dc.relation.ispartof | Journal of Mathematical Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | [No Keyword Available] | en_US |
| dc.title | Symplectic and multisymplectic Lobatto methods for the "good" Boussinesq equation | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | Karasozen, Bulent/0000-0003-1037-5431 | |
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| gdc.author.wosid | Aydin, Ayhan/AAL-5690-2020 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Karasoezen, B.] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey; [Aydin, A.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Karasoezen, B.] Middle E Tech Univ, Inst Appl Math, TR-06531 Ankara, Turkey | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 49 | en_US |
| gdc.description.wosquality | Q3 | |
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| gdc.oaire.keywords | Method of lines for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations | |
| gdc.oaire.keywords | KdV equations (Korteweg-de Vries equations) | |
| gdc.oaire.keywords | Other numerical methods (fluid mechanics) | |
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| gdc.virtual.author | Aydın, Ayhan | |
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