Numerical Solution of a Singularly Perturbed Three-Point Boundary Value Problem
| dc.authorscopusid | 22133512500 | |
| dc.authorscopusid | 6506398616 | |
| dc.contributor.author | Cakir, M. | |
| dc.contributor.author | Amiraliyev, G. M. | |
| dc.date.accessioned | 2025-05-10T17:07:39Z | |
| dc.date.available | 2025-05-10T17:07:39Z | |
| dc.date.issued | 2007 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | Yuzuncu Yil Univ, Dept Math, Fac Sci, TR-65080 Van, Turkey | en_US |
| dc.description.abstract | We consider a uniform finite difference method on an S-mesh (Shishkin type mesh) for a singularly perturbed semilinear one-dimensional convection-diffusion three-point boundary value problem with zeroth-order reduced equation. We show that the method is first-order convergent in the discrete maximum norm, independently of the perturbation parameter except for a logarithmic factor. An effective iterative algorithm for solving the non-linear difference problem and some numerical results are presented. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1080/00207160701296462 | |
| dc.identifier.endpage | 1481 | en_US |
| dc.identifier.issn | 0020-7160 | |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.scopus | 2-s2.0-34848865658 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 1465 | en_US |
| dc.identifier.uri | https://doi.org/10.1080/00207160701296462 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/6815 | |
| dc.identifier.volume | 84 | en_US |
| dc.identifier.wos | WOS:000249612400005 | |
| dc.identifier.wosquality | Q2 | |
| 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 | Finite Difference | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.subject | Shishkin Mesh | en_US |
| dc.subject | Non-Local Boundary Condition | en_US |
| dc.title | Numerical Solution of a Singularly Perturbed Three-Point Boundary Value Problem | en_US |
| dc.type | Article | en_US |