A Uniformly Valid Approximation Algorithm for Nonlinear Ordinary Singular Perturbation Problems With Boundary Layer Solutions
| dc.contributor.author | Cengizci, Suleyman | |
| dc.contributor.author | Atay, Mehmet Tarik | |
| dc.contributor.author | Eryilmaz, Aytekin | |
| dc.date.accessioned | 2025-09-25T10:39:46Z | |
| dc.date.available | 2025-09-25T10:39:46Z | |
| dc.date.issued | 2016 | |
| dc.description | Cengizci, Suleyman/0000-0002-4345-1253; | en_US |
| dc.description.abstract | This paper is concerned with two-point boundary value problems for singularly perturbed nonlinear ordinary differential equations. The case when the solution only has one boundary layer is examined. An efficient method so called Successive Complementary Expansion Method (SCEM) is used to obtain uniformly valid approximations to this kind of solutions. Four test problems are considered to check the efficiency and accuracy of the proposed method. The numerical results are found in good agreement with exact and existing solutions in literature. The results confirm that SCEM has a superiority over other existing methods in terms of easy-applicability and effectiveness. | en_US |
| dc.identifier.doi | 10.1186/s40064-016-1865-6 | |
| dc.identifier.issn | 2193-1801 | |
| dc.identifier.scopus | 2-s2.0-84959480501 | |
| dc.identifier.uri | https://doi.org/10.1186/s40064-016-1865-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/3172 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer int Publ Ag | en_US |
| dc.relation.ispartof | SpringerPlus | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Uniformly Valid Approximation | en_US |
| dc.subject | Asymptotic Expansion | en_US |
| dc.subject | Boundary Layer | en_US |
| dc.subject | Singular Perturbation | en_US |
| dc.subject | Successive Complementary Expansion Method | en_US |
| dc.title | A Uniformly Valid Approximation Algorithm for Nonlinear Ordinary Singular Perturbation Problems With Boundary Layer Solutions | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Cengizci, Suleyman/0000-0002-4345-1253 | |
| gdc.author.scopusid | 57151353400 | |
| gdc.author.scopusid | 23481447400 | |
| gdc.author.scopusid | 55639338300 | |
| gdc.author.wosid | Cengizci, Suleyman/O-5752-2018 | |
| gdc.author.wosid | Atay, Mehmet/Nvm-4066-2025 | |
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| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Abdullah Gül University | en_US |
| gdc.description.departmenttemp | [Cengizci, Suleyman] Middle E Tech Univ, Inst Appl Math, TR-06800 Ankara, Turkey; [Atay, Mehmet Tarik] Abdullah Gul Univ, Dept Mech Engn, TR-38039 Kayseri, Turkey; [Eryilmaz, Aytekin] Nevsehir Haci Bektas Veli Univ, Dept Math, TR-50300 Nevsehir, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | N/A | |
| gdc.description.volume | 5 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | N/A | |
| gdc.identifier.openalex | W2291687147 | |
| gdc.identifier.pmid | 27006888 | |
| gdc.identifier.wos | WOS:000373220100005 | |
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| gdc.index.type | PubMed | |
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| gdc.oaire.keywords | Boundary layer | |
| gdc.oaire.keywords | Research | |
| gdc.oaire.keywords | Successive Complementary Expansion Method | |
| gdc.oaire.keywords | Asymptotic expansion | |
| gdc.oaire.keywords | Uniformly valid approximation | |
| gdc.oaire.keywords | Singular perturbation | |
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| gdc.virtual.author | Atay, Mehmet Tarık | |
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