A Second Order Numerical Method for Singularly Perturbed Volterra Integro-Differential Equations With Delay
| dc.authorscopusid | 16309407500 | |
| dc.contributor.author | Erdoǧan, F. | |
| dc.date.accessioned | 2025-05-10T16:55:03Z | |
| dc.date.available | 2025-05-10T16:55:03Z | |
| dc.date.issued | 2024 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | Erdoǧan F., Van Yüzüncü Yll University, Faculty of Economics and Administrative Sciences, Department of Econometrics, Van, 65080, Turkey | en_US |
| dc.description.abstract | This study deals with singularly perturbed Volterra integro-differential equations with delay. Based on the properties of the exact solution, a hybrid difference scheme with appropriate quadrature rules on a Shishkin-Type mesh is constructed. By using the truncation error estimate techniques and a discrete analogue of Grönwall's inequality it is proved that the hybrid finite difference scheme is almost second order accurate in the discrete maximum norm. Numerical experiments support these theoretical results and indicate that the estimates are sharp. © 2024 Fevzi Erdoǧan et al., published by Sciendo. | en_US |
| dc.identifier.doi | 10.2478/ijmce-2024-0007 | |
| dc.identifier.endpage | 96 | en_US |
| dc.identifier.issn | 2956-7068 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-105002741394 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 85 | en_US |
| dc.identifier.uri | https://doi.org/10.2478/ijmce-2024-0007 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/3353 | |
| dc.identifier.volume | 2 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.institutionauthor | Erdoǧan, F. | |
| dc.language.iso | en | en_US |
| dc.publisher | Sciendo | en_US |
| dc.relation.ispartof | International Journal of Mathematics and Computer in Engineering | 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 | Delay Differential Equation | en_US |
| dc.subject | Finite Difference Scheme | en_US |
| dc.subject | Integro-Differential Equation | en_US |
| dc.subject | Shishkin Mesh | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.title | A Second Order Numerical Method for Singularly Perturbed Volterra Integro-Differential Equations With Delay | en_US |
| dc.type | Article | en_US |