A Second Order Fitted Numerical Method for a Singularly Perturbed Problem with an Integral Boundary Condition
| dc.contributor.author | Gurbuz, Bahar | |
| dc.contributor.author | Cakir, Musa | |
| dc.contributor.author | Gunes, Baransel | |
| dc.date.accessioned | 2025-09-30T16:36:04Z | |
| dc.date.available | 2025-09-30T16:36:04Z | |
| dc.date.issued | 2025 | |
| 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. | en_US |
| dc.identifier.doi | 10.1007/s00009-025-02925-z | |
| dc.identifier.issn | 1660-5446 | |
| dc.identifier.issn | 1660-5454 | |
| dc.identifier.scopus | 2-s2.0-105014730242 | |
| dc.identifier.uri | https://doi.org/10.1007/s00009-025-02925-z | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.relation.ispartof | Mediterranean Journal of Mathematics | 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 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Gurbuz, Bahar; Cakir, Musa] Van Yuzuncu Yil Univ, Dept Math, TR-65080 Tusba Van, Turkiye; [Gunes, Baransel] Minist Natl Educ, TR-65300 Ipekyolu Van, Turkiye | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 22 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:001560321200001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |