A Novel Uniform Numerical Approach To Solve a Singularly Perturbed Volterra Integro-Differential Equation
| dc.authorscopusid | 22133512500 | |
| dc.authorscopusid | 35110362400 | |
| dc.authorwosid | Cimen, Erkan/J-2065-2017 | |
| dc.contributor.author | Cakir, M. | |
| dc.contributor.author | Cimen, E. | |
| dc.date.accessioned | 2025-05-10T17:18:41Z | |
| dc.date.available | 2025-05-10T17:18:41Z | |
| dc.date.issued | 2023 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Cakir, M.; Cimen, E.] Van Yuzuncu Yil Univ, Dept Math, Van, Turkiye | en_US |
| dc.description.abstract | In this paper, the initial value problem for the second order singularly perturbed Volterra integro-differential equation is considered. To solve this problem, a finite difference scheme is constructed, which based on the method of integral identities using interpolating quadrature rules with remainder terms in integral form. As a result of the error analysis, it is proved that the method is first-order convergent uniformly with respect to the perturbation parameter in the discrete maximum norm. Numerical experiments supporting the theoretical results are also presented. | en_US |
| dc.description.sponsorship | The authors dedicate this work to their valuable teacher G.M. Amiraliyev. | en_US |
| dc.description.sponsorship | The authors dedicate this work to their valuable teacher G.M. Amiraliyev. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1134/S0965542523100020 | |
| dc.identifier.endpage | 1816 | en_US |
| dc.identifier.issn | 0965-5425 | |
| dc.identifier.issn | 1555-6662 | |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.scopus | 2-s2.0-85176963675 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 1800 | en_US |
| dc.identifier.uri | https://doi.org/10.1134/S0965542523100020 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/9759 | |
| dc.identifier.volume | 63 | en_US |
| dc.identifier.wos | WOS:001104729700002 | |
| dc.identifier.wosquality | Q4 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pleiades Publishing inc | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Finite Difference Method | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.subject | Uniform Convergence | en_US |
| dc.subject | Volterra Integro-Differential Equation | en_US |
| dc.title | A Novel Uniform Numerical Approach To Solve a Singularly Perturbed Volterra Integro-Differential Equation | en_US |
| dc.type | Article | en_US |