A Second Order Numerical Method for Singularly Perturbed Problem With Non-Local Boundary Condition
| dc.authorid | Cakir, Musa/0000-0002-1979-570X | |
| dc.authorscopusid | 22133512500 | |
| dc.authorscopusid | 6506398616 | |
| dc.contributor.author | Cakir, Musa | |
| dc.contributor.author | Amiraliyev, Gabil M. | |
| dc.date.accessioned | 2025-05-10T17:09:53Z | |
| dc.date.available | 2025-05-10T17:09:53Z | |
| dc.date.issued | 2021 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Cakir, Musa] Van Yuzuncu Yil Univ, Dept Math, Fac Sci, TR-65080 Van, Turkey; [Amiraliyev, Gabil M.] Erzincan Univ, Fac Arts & Sci, Dept Math, TR-57000 Erzincan, Turkey | en_US |
| dc.description | Cakir, Musa/0000-0002-1979-570X | en_US |
| dc.description.abstract | The aim of this paper is to present a monotone numerical method on uniform mesh for solving singularly perturbed three-point reaction-diffusion boundary value problems. Firstly, properties of the exact solution are analyzed. Difference schemes are established by the method of the integral identities with the appropriate quadrature rules with remainder terms in integral form. It is then proved that the method is second-order uniformly convergent with respect to singular perturbation parameter, in discrete maximum norm. Finally, one numerical example is presented to demonstrate the efficiency of the proposed method. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1007/s12190-021-01506-z | |
| dc.identifier.endpage | 936 | en_US |
| dc.identifier.issn | 1598-5865 | |
| dc.identifier.issn | 1865-2085 | |
| dc.identifier.issue | 1-2 | en_US |
| dc.identifier.scopus | 2-s2.0-85101638390 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 919 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s12190-021-01506-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/7267 | |
| dc.identifier.volume | 67 | en_US |
| dc.identifier.wos | WOS:000621749200001 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | 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 | Singular Perturbation | en_US |
| dc.subject | Exponentially Fitted Difference Scheme | en_US |
| dc.subject | Uniformly Convergence | en_US |
| dc.subject | Nonlocal Condition | en_US |
| dc.subject | Second-Order Accuracy | en_US |
| dc.title | A Second Order Numerical Method for Singularly Perturbed Problem With Non-Local Boundary Condition | en_US |
| dc.type | Article | en_US |