A Numerical Comparative Study for the Singularly Perturbed Nonlinear Volterra-Fredholm Integro-Differential Equations on Layer-Adapted Meshes
| dc.authorscopusid | 57221502698 | |
| dc.authorscopusid | 22133512500 | |
| dc.contributor.author | Gunes, Baransel | |
| dc.contributor.author | Cakir, Musa | |
| dc.date.accessioned | 2025-05-10T17:34:40Z | |
| dc.date.available | 2025-05-10T17:34:40Z | |
| dc.date.issued | 2024 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Gunes, Baransel] Van Yuzuncu Yil Univ, Dept Math, TR-65080 Van, Turkiye; [Cakir, Musa] Van Yuzuncu Yil Univ, Dept Math, TR-65080 Van, Turkiye | en_US |
| dc.description.abstract | This article deals with the singularly perturbed nonlinear Volterra-Fredholm integrodifferential equations. Firstly, some priori bounds are presented. Then, the finite difference scheme is constructed on non-uniform mesh by using interpolating quadrature rules [5] and composite numerical integration formulas. The error estimates are derived in the discrete maximum norm. Finally, theoretical results are performed on two examples and they are compared for both Bakhvalov (B-type) and Shishkin (S-type) meshes. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.18514/MMN.2024.4264 | |
| dc.identifier.endpage | 240 | en_US |
| dc.identifier.issn | 1787-2405 | |
| dc.identifier.issn | 1787-2413 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85196080820 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 225 | en_US |
| dc.identifier.uri | https://doi.org/10.18514/MMN.2024.4264 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/13884 | |
| dc.identifier.volume | 25 | en_US |
| dc.identifier.wos | WOS:001240590000017 | |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Miskolc inst Math | 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 | Bakhvalov Mesh | en_US |
| dc.subject | Error Bounds | en_US |
| dc.subject | Finite Difference Scheme | en_US |
| dc.subject | Volterra-Fredholm Integro- Differential Equation | en_US |
| dc.subject | Shishkin Mesh | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.title | A Numerical Comparative Study for the Singularly Perturbed Nonlinear Volterra-Fredholm Integro-Differential Equations on Layer-Adapted Meshes | en_US |
| dc.type | Article | en_US |