A Finite Difference Method on Layer-Adapted Mesh for Singularly Perturbed Delay Differential Equations
| dc.contributor.author | Erdogan, Fevzi | |
| dc.contributor.author | Sakar, Mehmet Giyas | |
| dc.contributor.author | Saldir, Onur | |
| dc.date.accessioned | 2025-05-10T17:34:16Z | |
| dc.date.available | 2025-05-10T17:34:16Z | |
| dc.date.issued | 2020 | |
| dc.description | Saldir, Onur/0000-0002-5292-9458 | en_US |
| dc.description.abstract | The purpose of this paper is to present a uniform finite difference method for numerical solution of a initial value problem for semilinear second order singularly perturbed delay differential equation. A numerical method is constructed for this problem which involves appropriate piecewise-uniform Shishkin mesh on each time subinterval. The method is shown to uniformly convergent with respect to the perturbation parameter. A numerical experiment illustrate in practice the result of convergence proved theoretically. | en_US |
| dc.identifier.doi | 10.2478/AMNS.2020.1.00040 | |
| dc.identifier.issn | 2444-8656 | |
| dc.identifier.scopus | 2-s2.0-85089140274 | |
| dc.identifier.uri | https://doi.org/10.2478/AMNS.2020.1.00040 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/13750 | |
| dc.language.iso | en | en_US |
| dc.publisher | Walter de Gruyter Gmbh | 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 Finite Difference Method on Layer-Adapted Mesh for Singularly Perturbed Delay Differential Equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Saldir, Onur/0000-0002-5292-9458 | |
| gdc.author.scopusid | 16309407500 | |
| gdc.author.scopusid | 54945074000 | |
| gdc.author.scopusid | 57194593120 | |
| gdc.author.wosid | Saldir, Onur/Jbs-5803-2023 | |
| 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; Sakar, Mehmet Giyas; Saldir, Onur] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkey | en_US |
| gdc.description.endpage | 436 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 425 | en_US |
| gdc.description.volume | 5 | en_US |
| gdc.description.woscitationindex | Emerging Sources Citation Index | |
| gdc.description.wosquality | N/A | |
| gdc.identifier.wos | WOS:000664154800039 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |