Numerical Solution of Singularly Perturbed Fredholm Integro-Differential Equations by Homogeneous Second Order Difference Method
| dc.contributor.author | Durmaz, Muhammet Enes | |
| dc.contributor.author | Cakir, Musa | |
| dc.contributor.author | Amirali, Ilhame | |
| dc.contributor.author | Amiraliyev, Gabil M. | |
| dc.date.accessioned | 2025-05-10T17:36:38Z | |
| dc.date.available | 2025-05-10T17:36:38Z | |
| dc.date.issued | 2022 | |
| dc.description | Durmaz, Muhammet Enes/0000-0002-6216-1032 | en_US |
| dc.description.abstract | This work presents a computational approximate to solve singularly perturbed Fredholm integro-differential equation with the reduced second type Fredholm equation. This problem is discretized by a finite difference approximate, which generates second-order uniformly convergent numerical approximations to the solution. Parameter-uniform approximations are generated using Shishkin type meshes. The performance of the numerical scheme is tested which supports the effectiveness of the technique. (c) 2022 Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.cam.2022.114327 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.issn | 1879-1778 | |
| dc.identifier.scopus | 2-s2.0-85129469238 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cam.2022.114327 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/14115 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | 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 Methods | en_US |
| dc.subject | Shishkin Mesh | en_US |
| dc.subject | Uniform Convergence | en_US |
| dc.title | Numerical Solution of Singularly Perturbed Fredholm Integro-Differential Equations by Homogeneous Second Order Difference Method | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Durmaz, Muhammet Enes/0000-0002-6216-1032 | |
| gdc.author.scopusid | 57218399879 | |
| gdc.author.scopusid | 22133512500 | |
| gdc.author.scopusid | 56082815700 | |
| gdc.author.scopusid | 6506398616 | |
| gdc.author.wosid | Durmaz, Muhammet Enes/Aaa-4251-2021 | |
| 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 | [Durmaz, Muhammet Enes] Kirklareli Univ, Dept Informat Technol, TR-39000 Kirklareli, Turkey; [Cakir, Musa] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey; [Amirali, Ilhame] Duzce Univ, Fac Arts & Sci, Dept Math, TR-81620 Duzce, Turkey; [Amiraliyev, Gabil M.] Erzincan Binali Yildirim Univ, Fac Arts & Sci, Dept Math, TR-24100 Erzincan, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 412 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:000829826200016 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |