Open AccessThe free-item extrapolated multistep method for precise integration of a nonline ar system and its application in the digital analysis of a chaotic system
Author(s) -
Chong Tang,
Hao Zhang,
Haiqing Yan,
Guimin Zhang
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.1091
Subject(s) - chaotic , computer science , nonlinear system , numerical integration , algorithm , mathematics , physics , mathematical analysis , artificial intelligence , quantum mechanics
The free-item extrapolated multistep method for precise integration is proposedfor a nonlinear system, and the calculation formula for the free-item extrapolated multistep method is obtained. The accuracy of the extrapolated multistep me thod can be improved through increasing the number of extrapolated points; at th e same time, evaluations cannot be increased too much. The precise integration m ethod has been developed and perfected by the present studies. When the method i s applied to a chaotic system, the result is admirable. Numerical calculations s how that the present method is high by accurate and computationally efficient.It has more advantages than the traditional methods in the analysis of a chaotic s ystem.