The Convergence of a New Symmetric Iterative Splitting Method for Non-Autonomous Systems
| dc.contributor.author | Tanoğlu, Gamze | |
| dc.contributor.author | Korkut, Sıla | |
| dc.coverage.doi | 10.1080/00207160.2012.687447 | |
| dc.date.accessioned | 2017-03-21T08:45:43Z | |
| dc.date.available | 2017-03-21T08:45:43Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | The iterative splitting methods have been extensively applied to solve complicated systems of differential equations. In this process, we split the complex problem into several sub-problems, each of which can be solved sequentially. In this paper, we construct a new symmetric iterative splitting scheme based on the Magnus expansion for solving non-autonomous problems. We also study its convergence properties by using the concepts of stability, consistency, and order. Several numerical examples are illustrated to confirm the theoretical results by comparing frequently used methods. © 2012 Copyright Taylor and Francis Group, LLC. | en_US |
| dc.identifier.citation | Tanoğlu, G., and Korkut, S. (2012). The convergence of a new symmetric iterative splitting method for non-autonomous systems. International Journal of Computer Mathematics, 89(13-14), 1837-1846. doi:10.1080/00207160.2012.687447 | en_US |
| dc.identifier.doi | 10.1080/00207160.2012.687447 | en_US |
| dc.identifier.doi | 10.1080/00207160.2012.687447 | |
| dc.identifier.issn | 0020-7160 | |
| dc.identifier.issn | 1029-0265 | |
| dc.identifier.scopus | 2-s2.0-84865222238 | |
| dc.identifier.uri | http://doi.org/10.1080/00207160.2012.687447 | |
| dc.identifier.uri | https://hdl.handle.net/11147/5111 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor and Francis Ltd. | en_US |
| dc.relation.ispartof | International Journal of Computer Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Numerical analysis | en_US |
| dc.subject | Error bounds | en_US |
| dc.subject | Partial differential equations | en_US |
| dc.subject | Iterative splitting methods | en_US |
| dc.subject | Magnus series | en_US |
| dc.subject | Convergence analysis | en_US |
| dc.title | The Convergence of a New Symmetric Iterative Splitting Method for Non-Autonomous Systems | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Tanoğlu, Gamze | |
| gdc.author.institutional | Korkut, Sıla | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 1846 | en_US |
| gdc.description.issue | 13-14 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1837 | en_US |
| gdc.description.volume | 89 | en_US |
| gdc.description.wosquality | Q2 | |
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| gdc.oaire.keywords | Error bounds | |
| gdc.oaire.keywords | Iterative splitting methods | |
| gdc.oaire.keywords | Convergence analysis | |
| gdc.oaire.keywords | Magnus series | |
| gdc.oaire.keywords | Partial differential equations | |
| gdc.oaire.keywords | Numerical analysis | |
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