A Second Order Fitted Numerical Method for a Singularly Perturbed Problem With an Integral Boundary Condition
| dc.authorscopusid | 59675164000 | |
| dc.authorscopusid | 22133512500 | |
| dc.authorscopusid | 57221502698 | |
| dc.contributor.author | Gurbuz, Bahar | |
| dc.contributor.author | Çakir, Musa | |
| dc.contributor.author | Güneş, Baransel | |
| dc.date.accessioned | 2025-09-30T16:36:04Z | |
| dc.date.available | 2025-09-30T16:36:04Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Gurbuz] Bahar, Department of Mathematics, Van Yüzüncü Yıl Üniversitesi, Van, Turkey; [Çakir] Musa, Department of Mathematics, Van Yüzüncü Yıl Üniversitesi, Van, Turkey; [Güneş] Baransel, Ministry of National Education, Ipekyolu, Turkey | en_US |
| dc.description.abstract | This study provides the new discretization for the singularly perturbed problems with an integral boundary condition. Firstly, some properties of the continuous problem are given. Next, using the interpolating quadrature formulas (Amiraliyev and Mamedov in Turk J Math 19(3):207–222, 1995) and linear basis functions, the second-order difference scheme is generated on Shishkin-type mesh. The convergence and error approximations of the proposed scheme are analyzed. Two numerical examples are included to support the theoretical results. © 2025 Elsevier B.V., All rights reserved. | en_US |
| dc.identifier.doi | 10.1007/s00009-025-02925-z | |
| dc.identifier.issn | 1660-5446 | |
| dc.identifier.issn | 1660-5454 | |
| dc.identifier.issue | 7 | en_US |
| dc.identifier.scopus | 2-s2.0-105014730242 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.1007/s00009-025-02925-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/28596 | |
| dc.identifier.volume | 22 | en_US |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Birkhauser | en_US |
| dc.relation.ispartof | Mediterranean Journal of Mathematics | 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 Scheme | en_US |
| dc.subject | Shishkin-Type Mesh | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.subject | Uniform Convergence | en_US |
| dc.title | A Second Order Fitted Numerical Method for a Singularly Perturbed Problem With an Integral Boundary Condition | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |