Reproducing Kernel Method with Global Derivative
Ordinary differential equations describe several phenomena in different fields of engineering and physics. Our aim is to use the reproducing kernel Hilbert space method (RKHSM) to find a solution to some ordinary differential equations (ODEs) that are described by using the global derivative. In thi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/2726735 |
| _version_ | 1797818710101065728 |
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| author | Nourhane Attia Ali Akgül Abdon Atangana |
| author_facet | Nourhane Attia Ali Akgül Abdon Atangana |
| author_sort | Nourhane Attia |
| collection | DOAJ |
| description | Ordinary differential equations describe several phenomena in different fields of engineering and physics. Our aim is to use the reproducing kernel Hilbert space method (RKHSM) to find a solution to some ordinary differential equations (ODEs) that are described by using the global derivative. In this research, we used the RKHSM to construct new numerical solutions for nonlinear ODEs with global derivative. The used method systematically produces analytic and approximate solutions in the series’s form. We tested three applications for showing the performance of the RKHSM. |
| first_indexed | 2024-03-13T09:12:05Z |
| format | Article |
| id | doaj.art-501c584beae641f691e787d74202fcfb |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-03-13T09:12:05Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-501c584beae641f691e787d74202fcfb2023-05-27T00:00:05ZengHindawi LimitedJournal of Function Spaces2314-88882023-01-01202310.1155/2023/2726735Reproducing Kernel Method with Global DerivativeNourhane Attia0Ali Akgül1Abdon Atangana2National High School for Marine Sciences and Coastal (ENSSMAL)Department of Computer Science and MathematicsInstitute for Groundwater StudiesOrdinary differential equations describe several phenomena in different fields of engineering and physics. Our aim is to use the reproducing kernel Hilbert space method (RKHSM) to find a solution to some ordinary differential equations (ODEs) that are described by using the global derivative. In this research, we used the RKHSM to construct new numerical solutions for nonlinear ODEs with global derivative. The used method systematically produces analytic and approximate solutions in the series’s form. We tested three applications for showing the performance of the RKHSM.http://dx.doi.org/10.1155/2023/2726735 |
| spellingShingle | Nourhane Attia Ali Akgül Abdon Atangana Reproducing Kernel Method with Global Derivative Journal of Function Spaces |
| title | Reproducing Kernel Method with Global Derivative |
| title_full | Reproducing Kernel Method with Global Derivative |
| title_fullStr | Reproducing Kernel Method with Global Derivative |
| title_full_unstemmed | Reproducing Kernel Method with Global Derivative |
| title_short | Reproducing Kernel Method with Global Derivative |
| title_sort | reproducing kernel method with global derivative |
| url | http://dx.doi.org/10.1155/2023/2726735 |
| work_keys_str_mv | AT nourhaneattia reproducingkernelmethodwithglobalderivative AT aliakgul reproducingkernelmethodwithglobalderivative AT abdonatangana reproducingkernelmethodwithglobalderivative |