An Efficient Nonstandard Finite Difference Scheme for Chaotic Fractional-Order Chen System
In this paper, an efficient nonstandard finite difference scheme for the numerical solution of chaotic fractional-order Chen system is developed. In the new method, an appropriate nonlocal framework in conjunction with the Grünwald-Letnikov approximation are applied for the discretization...
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9097844/ |
| _version_ | 1811274474298802176 |
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| author | Beijia Wang Liang Li Yaowu Wang |
| author_facet | Beijia Wang Liang Li Yaowu Wang |
| author_sort | Beijia Wang |
| collection | DOAJ |
| description | In this paper, an efficient nonstandard finite difference scheme for the numerical solution of chaotic fractional-order Chen system is developed. In the new method, an appropriate nonlocal framework in conjunction with the Grünwald-Letnikov approximation are applied for the discretization of fractional differential system. By constructing the discretization with the nonstandard finite difference scheme, high resolution of the system can be obtained, and the numerical instabilities of the nonlinear fractional-order Chen chaotic system can be also addressed to some extent. In addition, a new fractional derivative of the Caputo type is employed in the context of fractional-order Chen system to further decrease the computational complexity in the long-term treatment of fractional model. Numerical simulations demonstrate the applicability, accuracy and efficiency of the developed method. |
| first_indexed | 2024-04-12T23:19:48Z |
| format | Article |
| id | doaj.art-b70bbd9999534f5b963d26e88f156ef3 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T23:19:48Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-b70bbd9999534f5b963d26e88f156ef32022-12-22T03:12:33ZengIEEEIEEE Access2169-35362020-01-018984109842110.1109/ACCESS.2020.29962719097844An Efficient Nonstandard Finite Difference Scheme for Chaotic Fractional-Order Chen SystemBeijia Wang0Liang Li1https://orcid.org/0000-0002-2273-0966Yaowu Wang2Key Laboratory of Structures Dynamic Behavior and Control, Ministry of Education, Harbin Institute of Technology, Harbin, ChinaKey Laboratory of Structures Dynamic Behavior and Control, Ministry of Education, Harbin Institute of Technology, Harbin, ChinaKey Laboratory of Structures Dynamic Behavior and Control, Ministry of Education, Harbin Institute of Technology, Harbin, ChinaIn this paper, an efficient nonstandard finite difference scheme for the numerical solution of chaotic fractional-order Chen system is developed. In the new method, an appropriate nonlocal framework in conjunction with the Grünwald-Letnikov approximation are applied for the discretization of fractional differential system. By constructing the discretization with the nonstandard finite difference scheme, high resolution of the system can be obtained, and the numerical instabilities of the nonlinear fractional-order Chen chaotic system can be also addressed to some extent. In addition, a new fractional derivative of the Caputo type is employed in the context of fractional-order Chen system to further decrease the computational complexity in the long-term treatment of fractional model. Numerical simulations demonstrate the applicability, accuracy and efficiency of the developed method.https://ieeexplore.ieee.org/document/9097844/Fractional differential equationschaotic systemnonstandard finite differencefractional derivativechangeable memory |
| spellingShingle | Beijia Wang Liang Li Yaowu Wang An Efficient Nonstandard Finite Difference Scheme for Chaotic Fractional-Order Chen System IEEE Access Fractional differential equations chaotic system nonstandard finite difference fractional derivative changeable memory |
| title | An Efficient Nonstandard Finite Difference Scheme for Chaotic Fractional-Order Chen System |
| title_full | An Efficient Nonstandard Finite Difference Scheme for Chaotic Fractional-Order Chen System |
| title_fullStr | An Efficient Nonstandard Finite Difference Scheme for Chaotic Fractional-Order Chen System |
| title_full_unstemmed | An Efficient Nonstandard Finite Difference Scheme for Chaotic Fractional-Order Chen System |
| title_short | An Efficient Nonstandard Finite Difference Scheme for Chaotic Fractional-Order Chen System |
| title_sort | efficient nonstandard finite difference scheme for chaotic fractional order chen system |
| topic | Fractional differential equations chaotic system nonstandard finite difference fractional derivative changeable memory |
| url | https://ieeexplore.ieee.org/document/9097844/ |
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