Exponentially Fitted Difference Scheme for Singularly Perturbed Mixed Integro-Differential Equations
| dc.contributor.author | Cakir, Musa | |
| dc.contributor.author | Gunes, Baransel | |
| dc.date.accessioned | 2025-05-10T17:37:03Z | |
| dc.date.available | 2025-05-10T17:37:03Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this study, singularly perturbed mixed integro-differential equations (SPMIDEs) are taken into account. First, the asymptotic behavior of the solution is investigated. Then, by using interpolating quadrature rules and an exponential basis function, the finite difference scheme is constructed on a uniform mesh. The stability and convergence of the proposed scheme are analyzed in the discrete maximum norm. Some numerical examples are solved, and numerical outcomes are obtained. | en_US |
| dc.identifier.doi | 10.1515/gmj-2021-2130 | |
| dc.identifier.issn | 1072-947X | |
| dc.identifier.issn | 1572-9176 | |
| dc.identifier.scopus | 2-s2.0-85122761710 | |
| dc.identifier.uri | https://doi.org/10.1515/gmj-2021-2130 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/14261 | |
| dc.language.iso | en | en_US |
| dc.publisher | Walter de Gruyter Gmbh | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | 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 | Uniform Mesh | en_US |
| dc.subject | Volterra Integro-Differential Equation | en_US |
| dc.title | Exponentially Fitted Difference Scheme for Singularly Perturbed Mixed Integro-Differential Equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 22133512500 | |
| gdc.author.scopusid | 57221502698 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Cakir, Musa; Gunes, Baransel] Van Yuzuncu Yil Univ, Dept Math, Van, Turkey | en_US |
| gdc.description.endpage | 203 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 193 | en_US |
| gdc.description.volume | 29 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000737751600001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |