Back to Search
Start Over
Comparing numerical methods for the solutions of the Chen system
- Source :
-
Chaos, Solitons & Fractals . May2007, Vol. 32 Issue 4, p1296-1304. 9p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, the Adomian decomposition method (ADM) is applied to the Chen system which is a three-dimensional system of ODEs with quadratic nonlinearities. The ADM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. Comparisons between the decomposition solutions and the classical fourth-order Runge–Kutta (RK4) numerical solutions are made. In particular we look at the accuracy of the ADM as the Chen system changes from a non-chaotic system to a chaotic one. To highlight some computational difficulties due to a high Lyapunov exponent, a comparison with the Lorenz system is given. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 09600779
- Volume :
- 32
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Chaos, Solitons & Fractals
- Publication Type :
- Periodical
- Accession number :
- 23455245
- Full Text :
- https://doi.org/10.1016/j.chaos.2005.12.036