A Uniformly Convergent Numerical Method for Singularly Perturbed Semilinear Integro-Differential Equations With Two Integral Boundary Conditions
| dc.authorscopusid | 57221502698 | |
| dc.authorscopusid | 22133512500 | |
| dc.contributor.author | Gunes, Baransel | |
| dc.contributor.author | Cakir, Musa | |
| dc.date.accessioned | 2025-05-10T17:42:07Z | |
| dc.date.available | 2025-05-10T17:42:07Z | |
| dc.date.issued | 2023 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Gunes, Baransel; Cakir, Musa] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye | en_US |
| dc.description.abstract | This paper purposes to present a new discrete scheme for the singularly perturbed semilinear Volterra-Fredholm integro-differential equation including two integral boundary conditions. Initially, some analytical properties of the solution are given. Then, using the composite numerical integration formulas and implicit difference rules, the finite difference scheme is established on a uniform mesh. Error approximations for the approximate solution and stability bounds are investigated in the discrete maximum norm. Finally, a numerical example is solved to show epsilon-uniform convergence of the suggested difference scheme. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1134/S0965542523120114 | |
| dc.identifier.endpage | 2527 | en_US |
| dc.identifier.issn | 0965-5425 | |
| dc.identifier.issn | 1555-6662 | |
| dc.identifier.issue | 12 | en_US |
| dc.identifier.scopus | 2-s2.0-85183619746 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 2513 | en_US |
| dc.identifier.uri | https://doi.org/10.1134/S0965542523120114 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/15474 | |
| dc.identifier.volume | 63 | en_US |
| dc.identifier.wos | WOS:001152574300021 | |
| dc.identifier.wosquality | Q4 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pleiades Publishing inc | 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 | Discrete Scheme | en_US |
| dc.subject | Error Bounds | en_US |
| dc.subject | Integral Boundary Condition | en_US |
| dc.subject | Integro-Differential Equation | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.title | A Uniformly Convergent Numerical Method for Singularly Perturbed Semilinear Integro-Differential Equations With Two Integral Boundary Conditions | en_US |
| dc.type | Article | en_US |