Boundary layer challenges: A comparative analysis of two efficient meshless approaches
This article presents two meshless computational techniques: the radial basis function (RBF) method and the polynomial method, for numerically analyzing boundary layer problems, with a specific focus on singularly perturbed two-point boundary value problems. Both of these suggested meshless methods...
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Elsevier B.V.
2025
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| author | Alshammari A.O. Khan M.N. Ahmad I. |
| author2 | 59156924200 |
| author_facet | 59156924200 Alshammari A.O. Khan M.N. Ahmad I. |
| author_sort | Alshammari A.O. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | This article presents two meshless computational techniques: the radial basis function (RBF) method and the polynomial method, for numerically analyzing boundary layer problems, with a specific focus on singularly perturbed two-point boundary value problems. Both of these suggested meshless methods offer an advantage over globally supported meshless techniques, as they involve approximating derivatives by employing a constrained set of nodes located in the neighborhood of each collocation node. As a result, they demand significantly reduced computational effort compared to the globally supported collocation method. To assess the accuracy of these methods, we employ the maximum error norm, and the results are presented in the form of tables and graphs. The simulation results demonstrate that both approaches exhibit robust performance in addressing the investigated boundary layer problems. ? 2024 The Author(s) |
| format | Article |
| id | my.uniten.dspace-36562 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | Elsevier B.V. |
| record_format | dspace |
| spelling | my.uniten.dspace-365622025-03-03T15:43:05Z Boundary layer challenges: A comparative analysis of two efficient meshless approaches Alshammari A.O. Khan M.N. Ahmad I. 59156924200 57205304990 57220824630 This article presents two meshless computational techniques: the radial basis function (RBF) method and the polynomial method, for numerically analyzing boundary layer problems, with a specific focus on singularly perturbed two-point boundary value problems. Both of these suggested meshless methods offer an advantage over globally supported meshless techniques, as they involve approximating derivatives by employing a constrained set of nodes located in the neighborhood of each collocation node. As a result, they demand significantly reduced computational effort compared to the globally supported collocation method. To assess the accuracy of these methods, we employ the maximum error norm, and the results are presented in the form of tables and graphs. The simulation results demonstrate that both approaches exhibit robust performance in addressing the investigated boundary layer problems. ? 2024 The Author(s) Final 2025-03-03T07:43:05Z 2025-03-03T07:43:05Z 2024 Article 10.1016/j.padiff.2024.100743 2-s2.0-85195210383 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85195210383&doi=10.1016%2fj.padiff.2024.100743&partnerID=40&md5=3941f0c5f708c81a94d443fac1dede8e https://irepository.uniten.edu.my/handle/123456789/36562 10 100743 All Open Access; Gold Open Access Elsevier B.V. Scopus |
| spellingShingle | Alshammari A.O. Khan M.N. Ahmad I. Boundary layer challenges: A comparative analysis of two efficient meshless approaches |
| title | Boundary layer challenges: A comparative analysis of two efficient meshless approaches |
| title_full | Boundary layer challenges: A comparative analysis of two efficient meshless approaches |
| title_fullStr | Boundary layer challenges: A comparative analysis of two efficient meshless approaches |
| title_full_unstemmed | Boundary layer challenges: A comparative analysis of two efficient meshless approaches |
| title_short | Boundary layer challenges: A comparative analysis of two efficient meshless approaches |
| title_sort | boundary layer challenges: a comparative analysis of two efficient meshless approaches |
| url_provider | http://dspace.uniten.edu.my/ |