Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method
Although some numerical methods of the Lorenz system have been announced, simple and efficient methods have always been the direction that scholars strive to pursue. Based on this problem, this paper introduces a novel numerical method to solve the Lorenz-type chaotic system which is based on baryce...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/1030318 |
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| _version_ | 1832550473039609856 |
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| author | Jun-Mei Li Yu-Lan Wang Wei Zhang |
| author_facet | Jun-Mei Li Yu-Lan Wang Wei Zhang |
| author_sort | Jun-Mei Li |
| collection | DOAJ |
| description | Although some numerical methods of the Lorenz system have been announced, simple and efficient methods have always been the direction that scholars strive to pursue. Based on this problem, this paper introduces a novel numerical method to solve the Lorenz-type chaotic system which is based on barycentric Lagrange interpolation collocation method (BLICM). The system (1) is adopted as an example to elucidate the solution process. Numerical simulations are used to verify the effectiveness of the present method. |
| format | Article |
| id | doaj-art-2aeec5e95fe94e929af7fef19192d5cc |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-2aeec5e95fe94e929af7fef19192d5cc2025-02-03T06:06:41ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/10303181030318Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation MethodJun-Mei Li0Yu-Lan Wang1Wei Zhang2Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaInstitute of Economics and Management, Jining Normal University, Jining 012000, Inner Mongolia, ChinaAlthough some numerical methods of the Lorenz system have been announced, simple and efficient methods have always been the direction that scholars strive to pursue. Based on this problem, this paper introduces a novel numerical method to solve the Lorenz-type chaotic system which is based on barycentric Lagrange interpolation collocation method (BLICM). The system (1) is adopted as an example to elucidate the solution process. Numerical simulations are used to verify the effectiveness of the present method.http://dx.doi.org/10.1155/2019/1030318 |
| spellingShingle | Jun-Mei Li Yu-Lan Wang Wei Zhang Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method Advances in Mathematical Physics |
| title | Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method |
| title_full | Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method |
| title_fullStr | Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method |
| title_full_unstemmed | Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method |
| title_short | Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method |
| title_sort | numerical simulation of the lorenz type chaotic system using barycentric lagrange interpolation collocation method |
| url | http://dx.doi.org/10.1155/2019/1030318 |
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