An Q-Uniformly Convergent Technique for Singularly Perturbed Problems, With an Interior Turning Point Occurring in Chemical Processes
| dc.contributor.author | Kumari, Parvin | |
| dc.contributor.author | Kumar, Devendra | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2025-05-11T17:03:06Z | |
| dc.date.available | 2025-05-11T17:03:06Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | A parameter-uniform solution is presented for singularly perturbed turning point problems with twin boundary layers. A fitted mesh is created in order to resolve the layers, and the provided equation is discretized using the cubic B-spline basis functions on this mesh. For the analytic solution and its derivatives, asymptotic bounds are provided. A brief analysis shows that the method is first-order precise in time and second-order accurate (up to a logarithm factor) in space, and that it is uniformly convergent regardless of the minuscule parameter. Two test problems are offered in order to verify the theoretical results. | en_US |
| dc.identifier.doi | 10.1007/s10910-024-01692-8 | |
| dc.identifier.issn | 0259-9791 | |
| dc.identifier.issn | 1572-8897 | |
| dc.identifier.scopus | 2-s2.0-85208988311 | |
| dc.identifier.uri | https://doi.org/10.1007/s10910-024-01692-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9575 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Journal of Mathematical Chemistry | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Singularly Perturbed Problem | en_US |
| dc.subject | Turning Point | en_US |
| dc.subject | Piecewise-Uniform Mesh | en_US |
| dc.subject | Twin Boundary Layers | en_US |
| dc.subject | Uniformly Convergent Scheme | en_US |
| dc.title | An Q-Uniformly Convergent Technique for Singularly Perturbed Problems, With an Interior Turning Point Occurring in Chemical Processes | en_US |
| dc.type | Article | en_US |
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| gdc.author.wosid | Kumari, Parvin/Aat-1976-2021 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kumari, Parvin] Manipal Univ Jaipur, Dept Math & Stat, Jaipur, Rajasthan, India; [Kumar, Devendra] Birla Inst Technol & Sci, Dept Math, Pilani 333031, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, R-077125 Bucharest, Romania | en_US |
| gdc.description.endpage | 714 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 693 | en_US |
| gdc.description.volume | 63 | en_US |
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| gdc.oaire.keywords | uniformly convergent scheme | |
| gdc.oaire.keywords | piecewise-uniform mesh | |
| gdc.oaire.keywords | Mesh generation, refinement, and adaptive methods for ordinary differential equations | |
| gdc.oaire.keywords | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.keywords | singularly perturbed problem | |
| gdc.oaire.keywords | Stability and convergence of numerical methods for ordinary differential equations | |
| gdc.oaire.keywords | turning point | |
| gdc.oaire.keywords | twin boundary layers | |
| gdc.oaire.keywords | Numerical solution of singularly perturbed problems involving ordinary differential equations | |
| gdc.oaire.keywords | Error bounds for numerical methods for ordinary differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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