Numerical Treatment of Nonlocal Boundary Value Problem With Layer Behaviour
| dc.authorid | Cimen, Erkan/0000-0002-7258-192X | |
| dc.authorwosid | Cimen, Erkan/J-2065-2017 | |
| dc.contributor.author | Cimen, Erkan | |
| dc.contributor.author | Cakir, Musa | |
| dc.date.accessioned | 2025-05-10T17:28:30Z | |
| dc.date.available | 2025-05-10T17:28:30Z | |
| dc.date.issued | 2017 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Cimen, Erkan] Yuzuncu Yil Univ, Fac Educ, Dept Math, TR-65080 Van, Turkey; [Cakir, Musa] Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey | en_US |
| dc.description | Cimen, Erkan/0000-0002-7258-192X | en_US |
| dc.description.abstract | This paper deals with the singularly perturbed nonlocal boundary value problem for a linear first order differential equation. For the numerical solution of this problem, we use a fitted difference scheme on a piecewise uniform Shishkin mesh. An error analysis shows that the method is almost first order convergent, in the discrete maximum norm, independently of the perturbation parameter. Numerical results are presented which illustrate the theoretical results. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.36045/bbms/1506477685 | |
| dc.identifier.endpage | 352 | en_US |
| dc.identifier.issn | 1370-1444 | |
| dc.identifier.issn | 2034-1970 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 339 | en_US |
| dc.identifier.uri | https://doi.org/10.36045/bbms/1506477685 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/12060 | |
| dc.identifier.volume | 24 | en_US |
| dc.identifier.wos | WOS:000414891500003 | |
| dc.identifier.wosquality | Q3 | |
| dc.language.iso | en | en_US |
| dc.publisher | Belgian Mathematical Soc Triomphe | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.subject | Nonlocal Condition | en_US |
| dc.subject | Finite Difference Method | en_US |
| dc.subject | Initial Layer | en_US |
| dc.subject | Uniform Convergence | en_US |
| dc.title | Numerical Treatment of Nonlocal Boundary Value Problem With Layer Behaviour | en_US |
| dc.type | Article | en_US |