A Uniformly Almost Second Order Convergent Numerical Method for Singularly Perturbed Delay Differential Equations
| dc.contributor.author | Erdogan, Fevzi | |
| dc.contributor.author | Cen, Zhongdi | |
| dc.date.accessioned | 2025-05-10T17:04:35Z | |
| dc.date.available | 2025-05-10T17:04:35Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | The purpose of this paper is to present a uniform finite difference method for the numerical solution of a second order singularly perturbed delay differential equation. The problem is solved by using a hybrid difference scheme on a Shishkin-type mesh. The method is shown to be uniformly convergent with respect to the perturbation parameter. Numerical experiments illustrate in practice the result of convergence proved theoretically. (C) 2017 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | Project of Zhejiang Province Natural Science Foundation [LY18A010001]; Ningbo Municipal Natural Science Foundation [2017A610131, 2017A610140]; Ningbo Municipal Soft Science Foundation [2015A10045] | en_US |
| dc.description.sponsorship | The work was partially supported by the Project of Zhejiang Province Natural Science Foundation (Grant No. LY18A010001), Ningbo Municipal Natural Science Foundation (Grant Nos. 2017A610131, 2017A610140), and Ningbo Municipal Soft Science Foundation (Grant No. 2015A10045). | en_US |
| dc.identifier.doi | 10.1016/j.cam.2017.11.017 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.issn | 1879-1778 | |
| dc.identifier.scopus | 2-s2.0-85036478225 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cam.2017.11.017 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/6061 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Delay Differential Equation | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.subject | Finite Difference Scheme | en_US |
| dc.subject | Piecewise-Uniform Mesh | en_US |
| dc.subject | Error Estimates | en_US |
| dc.title | A Uniformly Almost Second Order Convergent Numerical Method for Singularly Perturbed Delay Differential Equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 16309407500 | |
| gdc.author.scopusid | 17233530700 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Erdogan, Fevzi] Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey; [Cen, Zhongdi] Zhejiang Wanli Univ, Inst Math, Ningbo 315100, Zhejiang, Peoples R China | en_US |
| gdc.description.endpage | 394 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 382 | en_US |
| gdc.description.volume | 333 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:000423654800025 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |