On the Numerical Solution of Korteweg-De Vries Equation by the Iterative Splitting Method
| dc.contributor.author | Gücüyenen, Nurcan | |
| dc.contributor.author | Tanoğlu, Gamze | |
| dc.coverage.doi | 10.1016/j.amc.2011.03.084 | |
| dc.date.accessioned | 2017-03-06T11:05:39Z | |
| dc.date.available | 2017-03-06T11:05:39Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | In this paper, we apply the method of iterative operator splitting on the Korteweg-de Vries (KdV) equation. The method is based on first, splitting the complex problem into simpler sub-problems. Then each sub-equation is combined with iterative schemes and solved with suitable integrators. Von Neumann analysis is performed to achieve stability criteria for the proposed method applied to the KdV equation. The numerical results obtained by iterative splitting method for various initial conditions are compared with the exact solutions. It is seen that they are in a good agreement with each other. © 2011 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.citation | Gücüyenen, N., and Tanoğlu, G. (2011). On the numerical solution of Korteweg-de Vries equation by the iterative splitting method. Applied Mathematics and Computation, 218(3), 777-782. doi:10.1016/j.amc.2011.03.084 | en_US |
| dc.identifier.doi | 10.1016/j.amc.2011.03.084 | |
| dc.identifier.doi | 10.1016/j.amc.2011.03.084 | en_US |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.scopus | 2-s2.0-80052265597 | |
| dc.identifier.uri | http://doi.org/10.1016/j.amc.2011.03.084 | |
| dc.identifier.uri | https://hdl.handle.net/11147/4979 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Ltd. | en_US |
| dc.relation.ispartof | Applied Mathematics and Computation | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Iterative methods | en_US |
| dc.subject | Iterative splitting method | en_US |
| dc.subject | KdV equation | en_US |
| dc.subject | Nonlinear wave equation | en_US |
| dc.title | On the Numerical Solution of Korteweg-De Vries Equation by the Iterative Splitting Method | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Gücüyenen, Nurcan | |
| gdc.author.institutional | Tanoğlu, Gamze | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 782 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 777 | en_US |
| gdc.description.volume | 218 | en_US |
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| gdc.oaire.keywords | KdV equation | |
| gdc.oaire.keywords | Iterative methods | |
| gdc.oaire.keywords | Iterative splitting method | |
| gdc.oaire.keywords | Nonlinear wave equation | |
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