A Reliable Numerical Method for the Singularly Perturbed Nonlinear Differential Equation With an Integral Boundary Condition
| dc.contributor.author | Cakir, Musa | |
| dc.contributor.author | Gurbuz, Bahar | |
| dc.contributor.author | Gunes, Baransel | |
| dc.date.accessioned | 2025-05-10T16:57:48Z | |
| dc.date.available | 2025-05-10T16:57:48Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | This study purposes to present an efficient numerical method for the singularly perturbed nonlinear problems involving an integral boundary condition. Initially, some properties are given for the continuous problem. Then, using interpolating quadrature formulas [3], the finite difference scheme is established on the Bakhvalov-Shishkin mesh (B-S mesh). The error approximations of the suggested scheme are examined in the discrete maximum norm. Finally, some numerical examples are included to confirm the theory. | en_US |
| dc.identifier.issn | 2346-8092 | |
| dc.identifier.scopus | 2-s2.0-86000355831 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/4191 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ivane Javakhishvili Tbilisi State Univ | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Bakhvalov-Shishkin Mesh | en_US |
| dc.subject | Error Analysis | en_US |
| dc.subject | Finite Difference Scheme | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.title | A Reliable Numerical Method for the Singularly Perturbed Nonlinear Differential Equation With an Integral Boundary Condition | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 22133512500 | |
| gdc.author.scopusid | 59675164000 | |
| 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; Gurbuz, Bahar; Gunes, Baransel] Van Yuzuncu Yil Univ, Dept Math, Van, Turkiye | en_US |
| gdc.description.endpage | 391 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 381 | en_US |
| gdc.description.volume | 178 | en_US |
| gdc.description.woscitationindex | Emerging Sources Citation Index | |
| gdc.description.wosquality | N/A | |
| gdc.identifier.wos | WOS:001378412000005 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |