New Conservative Schemes for Zakharov Equation
| dc.contributor.author | Aydin,A. | |
| dc.contributor.author | Sabawe,B.A.K. | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-09-10T21:35:49Z | |
| dc.date.available | 2024-09-10T21:35:49Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | New first-order and second-order energy preserving schemes are proposed for the Zakharov system. The methods are fully implicit and semi-explicit. It has been found that the first order method is also massconserving. Concrete schemes have been applied to simulate the soliton evolution of the Zakharov system. Numerical results show that the proposed methods capture the remarkable features of the Zakharov equation. We have obtained that the semi-explicit methods are more efficient than the fully implicit methods. Numerical results also demonstrate that the new energy-preserving schemes accurately simulate the soliton evolution of the Zakharov system. © MatDer. | en_US |
| dc.identifier.doi | 10.47000/tjmcs.1226770 | |
| dc.identifier.issn | 2148-1830 | |
| dc.identifier.scopus | 2-s2.0-85202554640 | |
| dc.identifier.uri | https://doi.org/10.47000/tjmcs.1226770 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/1218706/new-conservative-schemes-for-zakharov-equation | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/7373 | |
| dc.language.iso | en | en_US |
| dc.publisher | Association of Mathematicians (MATDER) | en_US |
| dc.relation.ispartof | Turkish Journal of Mathematics and Computer Science | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | equation. Average vector field method | en_US |
| dc.subject | Hamiltonian system | en_US |
| dc.subject | partitioned average vector field method | en_US |
| dc.subject | Zakharov | en_US |
| dc.title | New Conservative Schemes for Zakharov Equation | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Aydın, Ayhan | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Aydin A., Department of Mathematics, Faculty of Arts and Sciences, Atilim University, Ankara, İncek, 06830, Turkey; Sabawe B.A.K., Graduate School of Natural and Applied Sciences, Atilim University, Ankara, İncek, 06830, Turkey | en_US |
| gdc.description.endpage | 293 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 277 | en_US |
| gdc.description.volume | 15 | en_US |
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| gdc.identifier.trdizinid | 1218706 | |
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| gdc.oaire.keywords | Average vector field method;partitioned average vector field method;Hamiltonian system;Zakharovequation | |
| gdc.oaire.keywords | Matematik | |
| gdc.oaire.keywords | Mathematical Sciences | |
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