A New Numerical Method to Solve Some PDEs in the Unit Ball and Comparison with the Finite Element and the Exact Solution
In this paper, we give a new strategy to extend a numerical approximation method for two-dimensional reaction-diffusion problems. We present numerical results for this type of equations with a known analytical solution to qualify errors for the new method. We compare the results obtained using this...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2021/6696165 |
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| _version_ | 1832555248164536320 |
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| author | Rajae Malek Chérif Ziti |
| author_facet | Rajae Malek Chérif Ziti |
| author_sort | Rajae Malek |
| collection | DOAJ |
| description | In this paper, we give a new strategy to extend a numerical approximation method for two-dimensional reaction-diffusion problems. We present numerical results for this type of equations with a known analytical solution to qualify errors for the new method. We compare the results obtained using this approach to the standard finite element approach. The proposed method is adequate even with the singular right-hand side of type Dirac. |
| format | Article |
| id | doaj-art-d1ae804416fe4622b6814f55d2b9191e |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-d1ae804416fe4622b6814f55d2b9191e2025-02-03T05:49:15ZengWileyInternational Journal of Differential Equations1687-96431687-96512021-01-01202110.1155/2021/66961656696165A New Numerical Method to Solve Some PDEs in the Unit Ball and Comparison with the Finite Element and the Exact SolutionRajae Malek0Chérif Ziti1Moulay Ismail University of Meknes, Faculty of Sciences, EDPCS, Meknes, MoroccoMoulay Ismail University of Meknes, Faculty of Sciences, EDPCS, Meknes, MoroccoIn this paper, we give a new strategy to extend a numerical approximation method for two-dimensional reaction-diffusion problems. We present numerical results for this type of equations with a known analytical solution to qualify errors for the new method. We compare the results obtained using this approach to the standard finite element approach. The proposed method is adequate even with the singular right-hand side of type Dirac.http://dx.doi.org/10.1155/2021/6696165 |
| spellingShingle | Rajae Malek Chérif Ziti A New Numerical Method to Solve Some PDEs in the Unit Ball and Comparison with the Finite Element and the Exact Solution International Journal of Differential Equations |
| title | A New Numerical Method to Solve Some PDEs in the Unit Ball and Comparison with the Finite Element and the Exact Solution |
| title_full | A New Numerical Method to Solve Some PDEs in the Unit Ball and Comparison with the Finite Element and the Exact Solution |
| title_fullStr | A New Numerical Method to Solve Some PDEs in the Unit Ball and Comparison with the Finite Element and the Exact Solution |
| title_full_unstemmed | A New Numerical Method to Solve Some PDEs in the Unit Ball and Comparison with the Finite Element and the Exact Solution |
| title_short | A New Numerical Method to Solve Some PDEs in the Unit Ball and Comparison with the Finite Element and the Exact Solution |
| title_sort | new numerical method to solve some pdes in the unit ball and comparison with the finite element and the exact solution |
| url | http://dx.doi.org/10.1155/2021/6696165 |
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