Convergence Analysis and Numerical Solution of the Benjamin-Bona Equation by Lie-Trotter Splitting
| dc.contributor.author | Zürnacı, Fatma | |
| dc.contributor.author | Gücüyenen Kaymak, Nurcan | |
| dc.contributor.author | Seydaoğlu, Muaz | |
| dc.contributor.author | Tanoğlu, Gamze | |
| dc.coverage.doi | 10.3906/mat-1603-94 | |
| dc.date.accessioned | 2018-12-17T13:17:44Z | |
| dc.date.available | 2018-12-17T13:17:44Z | |
| dc.date.issued | 2018 | |
| 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 | Zürnacı, F., Gücüyenen Kaymak, N., Seydaoğlu, M., and Tanoğlu, G. (2018). Convergence analysis and numerical solution of the Benjamin-Bona-Mahony equation by Lie-Trotter splitting. Turkish Journal of Mathematics, 42(3), 1471-1483. doi:10.3906/mat-1603-94 | en_US |
| dc.identifier.doi | 10.3906/mat-1603-94 | |
| dc.identifier.doi | 10.3906/mat-1603-94 | en_US |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.scopus | 2-s2.0-85046716649 | |
| dc.identifier.uri | http://doi.org/10.3906/mat-1603-94 | |
| dc.identifier.uri | https://hdl.handle.net/11147/7048 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/yayin/detay/348748 | |
| dc.language.iso | en | en_US |
| dc.publisher | TUBITAK | en_US |
| dc.relation.ispartof | Turkish Journal of Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Benjamin-Bona-Mahony equation | en_US |
| dc.subject | Convergence analysis | en_US |
| dc.subject | Lie-Trotter splitting | en_US |
| dc.title | Convergence Analysis and Numerical Solution of the Benjamin-Bona Equation by Lie-Trotter Splitting | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Gücüyenen Kaymak, Nurcan | |
| gdc.author.institutional | Tanoğlu, Gamze | |
| gdc.author.yokid | 103234 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 1483 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Ulusal 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.wosquality | Q2 | |
| gdc.identifier.openalex | W2799636873 | |
| gdc.identifier.trdizinid | 348748 | |
| gdc.identifier.wos | WOS:000439014600057 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.index.type | TR-Dizin | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 3.0 | |
| gdc.oaire.influence | 2.8326885E-9 | |
| gdc.oaire.isgreen | true | |
| gdc.oaire.keywords | Convergence analysis | |
| gdc.oaire.keywords | [No Keywords] | |
| gdc.oaire.keywords | Benjamin-Bona-Mahony equation | |
| gdc.oaire.keywords | Lie-Trotter splitting | |
| gdc.oaire.popularity | 3.209512E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.fwci | 1.13136375 | |
| gdc.openalex.normalizedpercentile | 0.72 | |
| gdc.opencitations.count | 2 | |
| gdc.plumx.crossrefcites | 2 | |
| gdc.plumx.mendeley | 2 | |
| gdc.plumx.scopuscites | 5 | |
| gdc.scopus.citedcount | 5 | |
| gdc.wos.citedcount | 5 | |
| relation.isAuthorOfPublication.latestForDiscovery | cc750058-3946-4afb-a0bc-a6f980188af4 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 9af2b05f-28ac-4012-8abe-a4dfe192da5e |