The Conical Radial Basis Function for Partial Differential Equations
The performance of the parameter-free conical radial basis functions accompanied with the Chebyshev node generation is investigated for the solution of boundary value problems. In contrast to the traditional conical radial basis function method, where the collocation points are placed uniformly or q...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6664071 |
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| _version_ | 1832551696420569088 |
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| author | J. Zhang F. Z. Wang E. R. Hou |
| author_facet | J. Zhang F. Z. Wang E. R. Hou |
| author_sort | J. Zhang |
| collection | DOAJ |
| description | The performance of the parameter-free conical radial basis functions accompanied with the Chebyshev node generation is investigated for the solution of boundary value problems. In contrast to the traditional conical radial basis function method, where the collocation points are placed uniformly or quasi-uniformly in the physical domain of the boundary value problems in question, we consider three different Chebyshev-type schemes to generate the collocation points. This simple scheme improves accuracy of the method with no additional computational cost. Several numerical experiments are given to show the validity of the newly proposed method. |
| format | Article |
| id | doaj-art-b33abbdb2a554a64b3331ce50bbd8ed6 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b33abbdb2a554a64b3331ce50bbd8ed62025-02-03T06:00:49ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/66640716664071The Conical Radial Basis Function for Partial Differential EquationsJ. Zhang0F. Z. Wang1E. R. Hou2College of Computer Science and Technology, Huaibei Normal University, Huaibei 235000, ChinaCollege of Computer Science and Technology, Huaibei Normal University, Huaibei 235000, ChinaCollege of Computer Science and Technology, Huaibei Normal University, Huaibei 235000, ChinaThe performance of the parameter-free conical radial basis functions accompanied with the Chebyshev node generation is investigated for the solution of boundary value problems. In contrast to the traditional conical radial basis function method, where the collocation points are placed uniformly or quasi-uniformly in the physical domain of the boundary value problems in question, we consider three different Chebyshev-type schemes to generate the collocation points. This simple scheme improves accuracy of the method with no additional computational cost. Several numerical experiments are given to show the validity of the newly proposed method.http://dx.doi.org/10.1155/2020/6664071 |
| spellingShingle | J. Zhang F. Z. Wang E. R. Hou The Conical Radial Basis Function for Partial Differential Equations Journal of Mathematics |
| title | The Conical Radial Basis Function for Partial Differential Equations |
| title_full | The Conical Radial Basis Function for Partial Differential Equations |
| title_fullStr | The Conical Radial Basis Function for Partial Differential Equations |
| title_full_unstemmed | The Conical Radial Basis Function for Partial Differential Equations |
| title_short | The Conical Radial Basis Function for Partial Differential Equations |
| title_sort | conical radial basis function for partial differential equations |
| url | http://dx.doi.org/10.1155/2020/6664071 |
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