Convergence analysis and numerical solution of the benjamin-bona-mahony equation by lie-trotter splitting
| dc.contributor.author | Zurnaci, Fatma | |
| dc.contributor.author | Gucuyenen Kaymak, Nurcan | |
| dc.contributor.author | Seydaoglu, Muaz | |
| dc.contributor.author | Tanoglu, Gamze | |
| dc.date.accessioned | 2024-08-20T17:33:14Z | |
| dc.date.available | 2024-08-20T17:33:14Z | |
| dc.date.issued | 2018 | |
| dc.description | Zürnacı, Fatma/0000-0003-3787-3502; Kaymak, nurcan Gücüyenen/0000-0001-8226-8315; SEYDAOGLU, MUAZ/0000-0003-3211-0864; Tanoglu, Gamze/0000-0003-4870-6048 | en_US |
| dc.description.abstract | In this paper, an operator splitting method is used to analyze nonlinear Benjamin-Bona-Mahony-type equations. We split the equation into an unbounded linear part and a bounded nonlinear part and then Lie-Trotter splitting is applied to the equation. The local error bounds are obtained by using the approach based on the differential theory of operators in a Banach space and the quadrature error estimates via Lie commutator bounds. The global error estimate is obtained via Lady Windermere's fan argument. Finally, to confirm the expected convergence order, numerical examples are studied. | en_US |
| dc.identifier.citation | 4 | |
| dc.identifier.doi | 10.3906/mat-1603-94 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.scopus | 2-s2.0-85046716649 | |
| dc.identifier.uri | https://doi.org/10.3906/mat-1603-94 | |
| dc.identifier.uri | https://premium.gcris.co/handle/123456789/76 | |
| dc.language.iso | en | en_US |
| dc.publisher | Tubitak Scientific & Technological Research Council Turkey | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Lie-Trotter splitting | en_US |
| dc.subject | convergence analysis | en_US |
| dc.subject | Benjamin-Bona-Mahony equation | en_US |
| dc.title | Convergence analysis and numerical solution of the benjamin-bona-mahony equation by lie-trotter splitting | en_US |
| dc.type | journal article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Zürnacı, Fatma/0000-0003-3787-3502 | |
| gdc.author.id | Kaymak, nurcan Gücüyenen/0000-0001-8226-8315 | |
| gdc.author.id | SEYDAOGLU, MUAZ/0000-0003-3211-0864 | |
| gdc.author.id | Tanoglu, Gamze/0000-0003-4870-6048 | |
| gdc.author.scopusid | 57202018175 | |
| gdc.author.scopusid | 57202001761 | |
| gdc.author.scopusid | 56195169600 | |
| gdc.author.scopusid | 8350347700 | |
| gdc.author.wosid | Zürnacı, Fatma/AAD-4804-2019 | |
| gdc.author.wosid | seydaoğlu, muaz/ABF-4604-2021 | |
| gdc.author.wosid | Kaymak, nurcan Gücüyenen/Q-4623-2019 | |
| gdc.description.department | Izmir Institute of Technology | en_US |
| gdc.description.departmenttemp | [Zurnaci, Fatma] Dokuz Eylul Univ, Fac Sci, Dept Math, Izmir, Turkey; [Gucuyenen Kaymak, Nurcan; Tanoglu, Gamze] Izmir Inst Technol, Fac Sci, Dept Math, Izmir, Turkey; [Seydaoglu, Muaz] Mus Alparslan Univ, Fac Arts & Sci, Dept Math, Mus, Turkey | en_US |
| gdc.description.endpage | 1483 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1471 | en_US |
| gdc.description.volume | 42 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2799636873 | |
| gdc.identifier.wos | WOS:000439014600057 | |
| gdc.openalex.fwci | 1.13136375 | |
| gdc.openalex.normalizedpercentile | 0.73 | |
| gdc.opencitations.count | 2 | |
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| gdc.plumx.scopuscites | 4 | |
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