A Novel Numerical Approach for Solving Convection-Diffusion Problem With Boundary Layer Behavior
| dc.authorscopusid | 22133512500 | |
| dc.authorscopusid | 58707059800 | |
| dc.authorscopusid | 57210368891 | |
| dc.contributor.author | Cakir, M. | |
| dc.contributor.author | Masiha, R.Y. | |
| dc.contributor.author | Arslan, D. | |
| dc.date.accessioned | 2025-05-10T17:02:12Z | |
| dc.date.available | 2025-05-10T17:02:12Z | |
| dc.date.issued | 2020 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | Cakir M., Department of Mathematics, Faculty of Science, University of Van Yuzuncu Yil, Van, Turkey; Masiha R.Y., Department of Mathematics, Faculty of Science, University of Van Yuzuncu Yil, Van, Turkey; Arslan D., Department of Mathematics, Faculty of Art and Science, University of Bitlis Eren, Bitlis, 13200, Turkey | en_US |
| dc.description.abstract | This study deals with a new approach method for solving singularly perturbed boundary value problem of convection-diffusion type. Firstly, bounds on the solution and its derivative of solution to be used later in the article are obtained. This robust method is constructed with fitted difference scheme on a uniform mesh. It is proved that the presented method is first-order convergent with respect to the perturbation parameter ε in the discrete maximum norm. Two examples are given to illustrate the efficiency of the method. The numerical results are presented in tables and figures. © 2020, Gazi University Eti Mahallesi. All rights reserved. | en_US |
| dc.identifier.doi | 10.35378/gujs.542897 | |
| dc.identifier.endpage | 166 | en_US |
| dc.identifier.issn | 2147-1762 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85086757141 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 152 | en_US |
| dc.identifier.trdizinid | 362546 | |
| dc.identifier.uri | https://doi.org/10.35378/gujs.542897 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/5443 | |
| dc.identifier.volume | 33 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | Gazi Universitesi | en_US |
| dc.relation.ispartof | Gazi University Journal of Science | 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 | Finite Difference Scheme Uniform Mesh Uniform Convergence | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.title | A Novel Numerical Approach for Solving Convection-Diffusion Problem With Boundary Layer Behavior | en_US |
| dc.type | Article | en_US |