A New Difference Method for the Singularly Perturbed Volterra-Fredholm Integro-Differential Equations on a Shishkin Mesh
| dc.authorid | Cakir, Musa/0000-0002-1979-570X | |
| dc.authorscopusid | 22133512500 | |
| dc.authorscopusid | 57221502698 | |
| dc.contributor.author | Cakir, Musa | |
| dc.contributor.author | Gunes, Baransel | |
| dc.date.accessioned | 2025-05-10T17:13:50Z | |
| dc.date.available | 2025-05-10T17:13:50Z | |
| dc.date.issued | 2022 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Cakir, Musa; Gunes, Baransel] Van Yuzuncu Yil Univ, Dept Math, Van, Turkey | en_US |
| dc.description | Cakir, Musa/0000-0002-1979-570X | en_US |
| dc.description.abstract | In this research, the finite difference method is used to solve the initial value problem of linear first order Volterra-Fredholm integro-differential equations with singularity. By using implicit difference rules and composite numerical quadrature rules, the difference scheme is established on a Shishkin mesh. The stability and convergence of the proposed scheme are analyzed and two examples are solved to display the advantages of the presented technique. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.15672/hujms.950075 | |
| dc.identifier.endpage | 799 | en_US |
| dc.identifier.issn | 2651-477X | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-85131246458 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 787 | en_US |
| dc.identifier.trdizinid | 1162771 | |
| dc.identifier.uri | https://doi.org/10.15672/hujms.950075 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/8311 | |
| dc.identifier.volume | 51 | en_US |
| dc.identifier.wos | WOS:000807503800013 | |
| dc.identifier.wosquality | Q3 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hacettepe Univ, Fac Sci | 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 | Keywords | en_US |
| dc.subject | Difference Scheme | en_US |
| dc.subject | Error Estimate | en_US |
| dc.subject | Fredholm Integro-Differential Equation | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.subject | Shishkin Mesh | en_US |
| dc.subject | Volterra Integro-Differential Equation | en_US |
| dc.title | A New Difference Method for the Singularly Perturbed Volterra-Fredholm Integro-Differential Equations on a Shishkin Mesh | en_US |
| dc.type | Article | en_US |