An Efficient Method for Solving Second-Order Delay Differential Equation
| dc.authorscopusid | 35110362400 | |
| dc.authorscopusid | 57421535500 | |
| dc.authorwosid | Cimen, Erkan/J-2065-2017 | |
| dc.contributor.author | Cimen, Erkan | |
| dc.contributor.author | Uncu, Sevket | |
| dc.date.accessioned | 2025-05-10T17:10:47Z | |
| dc.date.available | 2025-05-10T17:10:47Z | |
| dc.date.issued | 2021 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Cimen, Erkan] Van Yuzuncu Yil Univ, Fac Educ, Dept Math, TR-65080 Van, Turkey; [Uncu, Sevket] Van Yuzuncu Yil Univ, Inst Pure & Appl Sci, Dept Math, TR-65080 Van, Turkey | en_US |
| dc.description.abstract | In this paper, the initial-value problem for a linear second order delay differential equation is considered. To solve this problem numerically, an appropriate difference scheme is constructed by using the method of integral identities which contains basis functions and interpolating quadrature rules with weight and remainder term in integral form. Besides, the method is proved to be first-order convergent in discrete maximum norm. The numerical illustration provided support the theoretical results. Finally, the proposed method is compared with the im | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.18514/MMN.2021.3325 | |
| dc.identifier.endpage | 638 | en_US |
| dc.identifier.issn | 1787-2405 | |
| dc.identifier.issn | 1787-2413 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85123262740 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 625 | en_US |
| dc.identifier.uri | https://doi.org/10.18514/MMN.2021.3325 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/7516 | |
| dc.identifier.volume | 22 | en_US |
| dc.identifier.wos | WOS:000741090800010 | |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Miskolc inst Math | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Plicit Euler Method | en_US |
| dc.subject | Delay Differential Equation | en_US |
| dc.subject | Initial Value Problem | en_US |
| dc.subject | Finite Difference Method | en_US |
| dc.subject | Error Es | en_US |
| dc.subject | Timate | en_US |
| dc.subject | Convergence | en_US |
| dc.title | An Efficient Method for Solving Second-Order Delay Differential Equation | en_US |
| dc.type | Article | en_US |