An Innovative Technique for Solving Singularly Perturbed Problems With Integral Boundary Conditions on the Non-Uniform Mesh
| dc.authorscopusid | 58307687500 | |
| dc.authorscopusid | 22133512500 | |
| dc.contributor.author | Temel, Z. | |
| dc.contributor.author | Cakir, M. | |
| dc.date.accessioned | 2025-06-01T20:09:10Z | |
| dc.date.available | 2025-06-01T20:09:10Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Temel Z.] University of Economics and Pedagogy, Department of Scientific Research, Innovation and Training, Karshi, Uzbekistan; [Cakir M.] Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Van, 65080, Turkey | en_US |
| dc.description.abstract | We investigate an innovative numerical method for solving linear singularly perturbed problems with integral boundary conditions. Firstly, proving a uniformly convergent numerical method for solving the singularly perturbed problem is the main goal of this problem. Secondly, a piecewise equidistant mesh is used to generate the finite difference scheme. Next, the difference technique’s stability and convergence analysis are covered. Lastly, two test instances’ numerical results are shown. © 2025, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved. | en_US |
| dc.identifier.endpage | 59 | en_US |
| dc.identifier.issn | 2147-625X | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-105005447868 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 50 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/25098 | |
| dc.identifier.volume | 13 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | Prof. Dr. Mehmet Zeki Sarıkaya | en_US |
| dc.relation.ispartof | Konuralp Journal of Mathematics | 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 | Integral Boundary | en_US |
| dc.subject | Linear Singularly Perturbed Problem | en_US |
| dc.subject | Non-Uniform Mesh | en_US |
| dc.subject | Numerical Method | en_US |
| dc.title | An Innovative Technique for Solving Singularly Perturbed Problems With Integral Boundary Conditions on the Non-Uniform Mesh | en_US |
| dc.type | Article | en_US |