A Second-Order Difference Scheme for the Singularly Perturbed Sobolev Problems With Third Type Boundary Conditions on Bakhvalov Mesh
| dc.authorscopusid | 57221502698 | |
| dc.authorscopusid | 56043249200 | |
| dc.authorwosid | Duru, Hakkı/Aac-8449-2019 | |
| dc.contributor.author | Gunes, B. | |
| dc.contributor.author | Duru, Hakki | |
| dc.date.accessioned | 2025-05-10T17:37:20Z | |
| dc.date.available | 2025-05-10T17:37:20Z | |
| dc.date.issued | 2022 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Gunes, B.; Duru, Hakki] Van Yuzuncu Yil Univ, Dept Math, Van, Turkey | en_US |
| dc.description.abstract | We consider a singularly perturbed initial-third boundary value Sobolev problems. Firstly, the asymptotic behaviour of the exact solution is analysed. Then, a second-order finite difference scheme is constructed on the special non-uniform mesh. By using energy estimate, the stability and convergence of the proposed scheme are investigated in the discrete maximum norm. Finally, three numerical examples are solved to validate the theory. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1080/10236198.2022.2043289 | |
| dc.identifier.endpage | 405 | en_US |
| dc.identifier.issn | 1023-6198 | |
| dc.identifier.issn | 1563-5120 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-85126039227 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 385 | en_US |
| dc.identifier.uri | https://doi.org/10.1080/10236198.2022.2043289 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/14345 | |
| dc.identifier.volume | 28 | en_US |
| dc.identifier.wos | WOS:000763180200001 | |
| dc.identifier.wosquality | Q3 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | 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 | Bakhvalov Mesh | en_US |
| dc.subject | Error Bounds | en_US |
| dc.subject | Finite Difference Method | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.subject | Sobolev Problem | en_US |
| dc.title | A Second-Order Difference Scheme for the Singularly Perturbed Sobolev Problems With Third Type Boundary Conditions on Bakhvalov Mesh | en_US |
| dc.type | Article | en_US |