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- Title
A high efficiency Lie derivative algorithm for the nonautonomous nonlinear systems.
- Authors
Jiang, W. A.; Gu, Z. H.; Liu, C.; Feng, H. R.; Chen, L. Q.
- Abstract
Numerical procedure plays a key role in tackling the solutions of nonlinear dynamical systems. With the advent of the age of big data and high-power computing, developing efficient and fast numerical algorithms is an urgent task. This paper extends the Lie derivative discretization algorithm to the nonautonomous nonlinear systems and investigates the numerical solutions of the systems. The periodic solutions of three different classical nonlinear systems are calculated, and the results are compared to those values calculated from the Runge–Kutta fourth-order algorithm, which demonstrated that the Lie derivative algorithm has the advantages of large time step and short computation time.
- Subjects
NONLINEAR systems; NONLINEAR dynamical systems; ALGORITHMS; BIG data
- Publication
International Journal of Modern Physics C: Computational Physics & Physical Computation, 2023, Vol 34, Issue 11, p1
- ISSN
0129-1831
- Publication type
Article
- DOI
10.1142/S0129183123501528