A Cubic B-Spline Galerkin Approach for the Numerical Simulation of the GEW Equation
| dc.contributor.author | Karakoç, Seydi Battal Gazi | |
| dc.contributor.author | Zeybek, Halil | |
| dc.date.accessioned | 2024-06-06T10:52:11Z | |
| dc.date.available | 2024-06-06T10:52:11Z | |
| dc.date.issued | 2016 | en_US |
| dc.date.issued | 2016 | |
| dc.description.abstract | The generalized equal width (GEW) wave equation is solved numerically by using lumped Galerkin approach with cubic B-spline functions. The proposed numerical scheme is tested by applying two test problems including single solitary wave and interaction of two solitary waves. In order to determine the performance of the algorithm, the error norms L<inf>2</inf> and L<inf>∞</inf> and the invariants I<inf>1</inf>, I<inf>2</inf> and I<inf>3</inf> are calculated. For the linear stability analysis of the numerical algorithm, von Neumann approach is used. As a result, the obtained findings show that the presented numerical scheme is preferable to some recent numerical methods. © 2016 Elsevier B.V., All rights reserved. | en_US |
| dc.identifier.doi | 10.19139/soic.v4i1.167 | |
| dc.identifier.issn | 2310-5070 | |
| dc.identifier.issn | 2311-004X | |
| dc.identifier.scopus | 2-s2.0-85006968156 | |
| dc.identifier.uri | https://doi.org/10.19139/soic.v4i1.167 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/2186 | |
| dc.language.iso | en | en_US |
| dc.publisher | International Academic Press | en_US |
| dc.relation.ispartof | Statistics, Optimization and Information Computing | en_US |
| dc.relation.isversionof | 10.19139/soic.v4i1.167 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Cubic B-Spline | en_US |
| dc.subject | Finite Element Method | en_US |
| dc.subject | Galerkin Method | en_US |
| dc.subject | Gew Equation | en_US |
| dc.subject | Solitary Waves | en_US |
| dc.title | A Cubic B-Spline Galerkin Approach for the Numerical Simulation of the GEW Equation | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 55263002800 | |
| gdc.author.scopusid | 56433365000 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | AGÜ | en_US |
| gdc.description.departmenttemp | [Karakoç] Seydi Battal Gazi, Department of Mathematics, Nevşehir Haci Bektaş Veli Üniversitesi, Nevsehir, Turkey; [Zeybek] Halil, Department of Applied Mathematics, Abdullah Gül Üniversitesi, Kayseri, Turkey | en_US |
| gdc.description.endpage | 41 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 30 | en_US |
| gdc.description.volume | 4 | en_US |
| gdc.description.wosquality | N/A | |
| gdc.identifier.openalex | W2326198685 | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.downloads | 33 | |
| gdc.oaire.impulse | 3.0 | |
| gdc.oaire.influence | 3.49068E-9 | |
| gdc.oaire.isgreen | true | |
| gdc.oaire.keywords | Finite element method | |
| gdc.oaire.keywords | GEW equation | |
| gdc.oaire.keywords | Cubic B-spline | |
| gdc.oaire.keywords | Solitary waves | |
| gdc.oaire.keywords | Galerkin method | |
| gdc.oaire.popularity | 1.2904595E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.views | 155 | |
| gdc.openalex.collaboration | National | |
| gdc.openalex.fwci | 3.3557 | |
| gdc.openalex.normalizedpercentile | 0.9 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 18 | |
| gdc.plumx.mendeley | 12 | |
| gdc.plumx.scopuscites | 25 | |
| gdc.scopus.citedcount | 25 | |
| relation.isOrgUnitOfPublication | 665d3039-05f8-4a25-9a3c-b9550bffecef | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 665d3039-05f8-4a25-9a3c-b9550bffecef |