Magnus Series Expansion Method for Solving Nonhomogeneous Stiff Systems of Ordinary Differential Equations
| dc.contributor.author | Atay, Mehmet T. | |
| dc.contributor.author | Eryilmaz, Aytekin | |
| dc.contributor.author | Komez, Sure | |
| dc.date.accessioned | 2025-09-25T10:50:34Z | |
| dc.date.available | 2025-09-25T10:50:34Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this paper, Magnus Series Expansion Method, which is based on Lie Groups and Lie algebras is proposed with different orders to solve nonhomogeneous stiff systems of ordinary differential equations. Using multivariate Gaussian quadrature, fourth (MG4) and sixth (MG6) order method are presented. Then, it is applied to nonhomogeneous stiff systems using different step sizes and stiffness ratios. In addition, approximate and exact solutions are demonstrated with figures in detail. Moreover, absolute errors are illustrated with detailed tables. | en_US |
| dc.identifier.issn | 2307-4108 | |
| dc.identifier.issn | 2307-4116 | |
| dc.identifier.scopus | 2-s2.0-84965036033 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/4168 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Kuwait Journal of Science | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Geometric Integration | en_US |
| dc.subject | Lie Group Method | en_US |
| dc.subject | Linear Differential Equations | en_US |
| dc.subject | Magnus Series Expansion Method | en_US |
| dc.subject | Stiff Systems | en_US |
| dc.title | Magnus Series Expansion Method for Solving Nonhomogeneous Stiff Systems of Ordinary Differential Equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Atay, Mehmet Tarık | |
| gdc.author.scopusid | 23481447400 | |
| gdc.author.scopusid | 55639338300 | |
| gdc.author.scopusid | 56790464300 | |
| gdc.author.wosid | Köme, Sure/Mfj-6124-2025 | |
| gdc.description.department | Abdullah Gül University | en_US |
| gdc.description.departmenttemp | [Atay, Mehmet T.] Abdullah Gul Univ, Dept Mech Engn, TR-38080 Kayseri, Turkey; [Eryilmaz, Aytekin; Komez, Sure] Nevsehir Haci Bektas Veli Univ, Dept Math, TR-50300 Nevsehir, Turkey | en_US |
| gdc.description.endpage | 38 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 25 | en_US |
| gdc.description.volume | 43 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000370998200003 | |
| gdc.scopus.citedcount | 0 | |
| gdc.wos.citedcount | 1 | |
| relation.isAuthorOfPublication | 8dfe3b15-3b3d-4f28-ba97-6d292ea11ad7 | |
| relation.isAuthorOfPublication.latestForDiscovery | 8dfe3b15-3b3d-4f28-ba97-6d292ea11ad7 | |
| relation.isOrgUnitOfPublication | 665d3039-05f8-4a25-9a3c-b9550bffecef | |
| relation.isOrgUnitOfPublication | 26c938e5-738e-41bf-8231-8de593870236 | |
| relation.isOrgUnitOfPublication | ef13a800-4c99-4124-81e0-3e25b33c0c2b | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 665d3039-05f8-4a25-9a3c-b9550bffecef |