A Uniform Numerical Method for Solving Singularly Perturbed Fredholm Integro-Differential Problem
| dc.contributor.author | Cimen, Erkan | |
| dc.contributor.author | Cakir, Musa | |
| dc.date.accessioned | 2025-05-10T17:09:51Z | |
| dc.date.available | 2025-05-10T17:09:51Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this paper, we deal with a class of boundary-value problems for the singularly perturbed Fredholm integro-differential equation. To solve the problem, we construct a new difference scheme by the method of integral identities using interpolating quadrature rules with remainder terms in integral form. We prove that the method is convergent in the discrete maximum norm, uniformly with respect to the perturbation parameter. We present numerical experiments which support the theoretical results. | en_US |
| dc.identifier.doi | 10.1007/s40314-021-01412-x | |
| dc.identifier.issn | 2238-3603 | |
| dc.identifier.issn | 1807-0302 | |
| dc.identifier.scopus | 2-s2.0-85100642190 | |
| dc.identifier.uri | https://doi.org/10.1007/s40314-021-01412-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/7259 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fredholm Integro-Differential Equation | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.subject | Finite Difference Method | en_US |
| dc.subject | Uniform Convergence | en_US |
| dc.title | A Uniform Numerical Method for Solving Singularly Perturbed Fredholm Integro-Differential Problem | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 35110362400 | |
| gdc.author.scopusid | 22133512500 | |
| gdc.author.wosid | Cimen, Erkan/J-2065-2017 | |
| 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 | [Cimen, Erkan] Van Yuzuncu Yil Univ, Fac Educ, Dept Math, TR-65080 Van, Turkey; [Cakir, Musa] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 40 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:000615749700001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |