| dc.contributor.author | Acar, Hülya | |
| dc.contributor.author | Amirali, I. | |
| dc.contributor.author | Durmaz, M.E. | |
| dc.contributor.author | Amiraliyev, G.M. | |
| dc.date.accessioned | 2025-12-19T10:42:07Z | |
| dc.date.available | 2025-12-19T10:42:07Z | |
| dc.date.issued | 2025 | en_US |
| dc.identifier.citation | Acar, H., Amirali, I., Durmaz, M.E. et al. Finite Difference Method for Advanced Volterra Integro-Differential Equation with Delay. Comput. Math. and Math. Phys. 65(4):698–710 (2025). | en_US |
| dc.identifier.issn | 1555-6662 | |
| dc.identifier.uri | https://link.springer.com/article/10.1134/S0965542525700149 | |
| dc.identifier.uri | https://doi.org/10.1134/S0965542525700149 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12780/1299 | |
| dc.description.abstract | The aim of this paper is to introduce a numerical method for advanced Volterra delay inte gro-differential equation with initial condition. A finite difference scheme on a uniform mesh using
the trapezoidal formula is developed to numerically solve this problem. Additionally, demonstrated
that this approach yields second-order convergence in the discrete maximum norm. The proposed
method is validated through the presentation of numerical results. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Pleiades Publishing | en_US |
| dc.relation.isversionof | 10.1134/S0965542525700149 | en_US |
| dc.rights | info:eu-repo/semantics/embargoedAccess | en_US |
| dc.subject | advanced Volterra integro | en_US |
| dc.subject | differential equation with delay | en_US |
| dc.subject | finite difference scheme | en_US |
| dc.subject | uniform convergence | en_US |
| dc.subject | error estimate | en_US |
| dc.title | Finite difference method for advanced Volterra integro-differential equation with delay | en_US |
| dc.type | article | en_US |
| dc.contributor.department | İstanbul Kent Üniversitesi, Fakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Bilgisayar Mühendisliği Bölümü | en_US |
| dc.contributor.authorID | 0000-0001-9709-4805 | en_US |
| dc.contributor.institutionauthor | Acar, Hülya | |
| dc.identifier.volume | 65 | en_US |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 698 | en_US |
| dc.identifier.endpage | 710 | en_US |
| dc.relation.journal | Computational Mathematics and Mathematical Physics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
