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Numerical Simulation of the Lorenz‐Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method

Author

Listed:
  • Jun-Mei Li
  • Yu-Lan Wang
  • Wei Zhang

Abstract

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.

Suggested Citation

  • Jun-Mei Li & Yu-Lan Wang & Wei Zhang, 2019. "Numerical Simulation of the Lorenz‐Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:1030318
    DOI: 10.1155/2019/1030318
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Construction of solitary solution and compacton-like solution by variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 108-113.
    2. Xiaofei Zhou & Junmei Li & Yulan Wang & Wei Zhang, 2019. "Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method," Complexity, Hindawi, vol. 2019, pages 1-13, February.
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