Reproducing Kernel Method for Fractional Riccati Differential Equations
This paper is devoted to a new numerical method for fractional Riccati differential equations. The method combines the reproducing kernel method and the quasilinearization technique. Its main advantage is that it can produce good approximations in a larger interval, rather than a local vicinity of t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/970967 |
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| _version_ | 1832546225587486720 |
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| author | X. Y. Li B. Y. Wu R. T. Wang |
| author_facet | X. Y. Li B. Y. Wu R. T. Wang |
| author_sort | X. Y. Li |
| collection | DOAJ |
| description | This paper is devoted to a new numerical method for fractional Riccati differential equations. The method combines the reproducing kernel method and the quasilinearization technique. Its main advantage is that it can produce good approximations in a larger interval, rather than a local vicinity of the initial position. Numerical results are compared with some existing methods to show the accuracy and effectiveness of the present method. |
| format | Article |
| id | doaj-art-d90107da69b0420b8d11769677311806 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d90107da69b0420b8d117696773118062025-02-03T07:23:35ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/970967970967Reproducing Kernel Method for Fractional Riccati Differential EquationsX. Y. Li0B. Y. Wu1R. T. Wang2Department of Mathematics, Changshu Institute of Technology, Suzhou, Jiangsu 215500, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaDepartment of Mathematics, Changshu Institute of Technology, Suzhou, Jiangsu 215500, ChinaThis paper is devoted to a new numerical method for fractional Riccati differential equations. The method combines the reproducing kernel method and the quasilinearization technique. Its main advantage is that it can produce good approximations in a larger interval, rather than a local vicinity of the initial position. Numerical results are compared with some existing methods to show the accuracy and effectiveness of the present method.http://dx.doi.org/10.1155/2014/970967 |
| spellingShingle | X. Y. Li B. Y. Wu R. T. Wang Reproducing Kernel Method for Fractional Riccati Differential Equations Abstract and Applied Analysis |
| title | Reproducing Kernel Method for Fractional Riccati Differential Equations |
| title_full | Reproducing Kernel Method for Fractional Riccati Differential Equations |
| title_fullStr | Reproducing Kernel Method for Fractional Riccati Differential Equations |
| title_full_unstemmed | Reproducing Kernel Method for Fractional Riccati Differential Equations |
| title_short | Reproducing Kernel Method for Fractional Riccati Differential Equations |
| title_sort | reproducing kernel method for fractional riccati differential equations |
| url | http://dx.doi.org/10.1155/2014/970967 |
| work_keys_str_mv | AT xyli reproducingkernelmethodforfractionalriccatidifferentialequations AT bywu reproducingkernelmethodforfractionalriccatidifferentialequations AT rtwang reproducingkernelmethodforfractionalriccatidifferentialequations |