Numerical Solution of a Singularly Perturbed Volterra Integro-Differential Equation
| dc.authorid | Sevgin, Sebaheddin/0000-0002-2163-9896 | |
| dc.authorscopusid | 14322248300 | |
| dc.contributor.author | Sevgin, Sebaheddin | |
| dc.date.accessioned | 2025-05-10T17:42:54Z | |
| dc.date.available | 2025-05-10T17:42:54Z | |
| dc.date.issued | 2014 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey | en_US |
| dc.description | Sevgin, Sebaheddin/0000-0002-2163-9896 | en_US |
| dc.description.abstract | We study the convergence properties of a difference scheme for singularly perturbed Volterra integro-differential equations on a graded mesh. We show that the scheme is first-order convergent in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments are presented, which are in agreement with the theoretical results. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1186/1687-1847-2014-171 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84904464217 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2014-171 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/15702 | |
| dc.identifier.wos | WOS:000342087000001 | |
| dc.identifier.wosquality | Q1 | |
| dc.institutionauthor | Sevgin, Sebaheddin | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer international Publishing Ag | 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 | Singular Perturbation | en_US |
| dc.subject | Volterra Integro-Differential Equations | en_US |
| dc.subject | Difference Scheme | en_US |
| dc.subject | Uniform Convergence | en_US |
| dc.subject | Graded Mesh | en_US |
| dc.title | Numerical Solution of a Singularly Perturbed Volterra Integro-Differential Equation | en_US |
| dc.type | Article | en_US |