Numerical Solutions of the Kawahara Equation by the Septic B-Spline Collocation Method
| dc.contributor.author | Karakoç, Seydi Battal Gazi | |
| dc.contributor.author | Zeybek, Halil | |
| dc.contributor.author | Ak, Turgut | |
| dc.date.accessioned | 2024-06-26T12:35:09Z | |
| dc.date.available | 2024-06-26T12:35:09Z | |
| dc.date.issued | 2014 | en_US |
| dc.date.issued | 2014 | |
| dc.description.abstract | In this article, a numerical solution of the Kawahara equation is presented by septic B-spline collocation method. Applying the Von-Neumann stability analysis, the present method is shown to be unconditionally stable. The accuracy of the proposed method is checked by two test problems. L<inf>2</inf> and L<inf>∞</inf> error norms and conserved quantities are given at selected times. The obtained results are found in good agreement with the some recent results. © 2016 Elsevier B.V., All rights reserved. | en_US |
| dc.identifier.doi | 10.19139/soic.v2i3.74 | |
| dc.identifier.issn | 2310-5070 | |
| dc.identifier.issn | 2311-004X | |
| dc.identifier.scopus | 2-s2.0-85006351951 | |
| dc.identifier.uri | https://doi.org/10.19139/soic.v2i3.74 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/2214 | |
| 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.v2i3.74 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Collocation | en_US |
| dc.subject | Finite Element Method | en_US |
| dc.subject | Kawahara Equation | en_US |
| dc.subject | Septic B-Splines | en_US |
| dc.subject | Solitary Waves | en_US |
| dc.title | Numerical Solutions of the Kawahara Equation by the Septic B-Spline Collocation Method | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 55263002800 | |
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| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | AGÜ | en_US |
| gdc.description.departmenttemp | [Karakoç] Seydi Battal Gazi, Nevşehir Haci Bektaş Veli Üniversitesi, Nevsehir, Turkey; [Zeybek] Halil, Abdullah Gül Üniversitesi, Kayseri, Turkey; [Ak] Turgut, Armutlu Vocational School, Yalova Üniversitesi, Yalova, Turkey | en_US |
| gdc.description.endpage | 221 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 211 | en_US |
| gdc.description.volume | 2 | en_US |
| gdc.description.wosquality | N/A | |
| gdc.identifier.openalex | W1482346891 | |
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| gdc.oaire.keywords | Finite element method | |
| gdc.oaire.keywords | Septic | |
| gdc.oaire.keywords | Kawahara equation | |
| gdc.oaire.keywords | Septic B-Splines | |
| gdc.oaire.keywords | Collocation | |
| gdc.oaire.keywords | Solitary waves | |
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