Numerical Treatment of Nonlocal Boundary Value Problem with Layer Behaviour
| dc.contributor.author | Cimen, E. | |
| dc.contributor.author | Çakir, M. | |
| dc.date.accessioned | 2025-05-10T17:28:30Z | |
| dc.date.available | 2025-05-10T17:28:30Z | |
| dc.date.issued | 2017 | |
| 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. © 2025 Elsevier B.V., All rights reserved. | en_US |
| dc.identifier.doi | 10.36045/bbms/1506477685 | |
| dc.identifier.issn | 1370-1444 | |
| dc.identifier.scopus | 2-s2.0-105014477308 | |
| dc.identifier.uri | https://doi.org/10.36045/bbms/1506477685 | |
| dc.language.iso | en | en_US |
| dc.publisher | Belgian Mathematical Society | en_US |
| dc.relation.ispartof | Bulletin of the Belgian Mathematical Society-Simon Stevin | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Finite Difference Method | en_US |
| dc.subject | Initial Layer | en_US |
| dc.subject | Nonlocal Condition | en_US |
| dc.subject | Singular Perturbation | 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 |
| dspace.entity.type | Publication | |
| gdc.author.id | Cimen, Erkan/0000-0002-7258-192X | |
| gdc.author.scopusid | 35110362400 | |
| gdc.author.scopusid | 22133512500 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Cimen] Erkan, Department of Mathematics, Van Yüzüncü Yıl Üniversitesi, Van, Turkey; [Çakir] Musa, Department of Mathematics, Van Yüzüncü Yıl Üniversitesi, Van, Turkey | en_US |
| gdc.description.endpage | 352 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 339 | en_US |
| gdc.description.volume | 24 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000414891500003 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |