Numerical analysis of the Adomian method and its application to chaotic systems

0462106 - ÚTIA 2017 RIV US eng C - Konferenční příspěvek (zahraniční konf.)
Beran, Zdeněk - Čelikovský, Sergej
Numerical analysis of the Adomian method and its application to chaotic systems.
IFAC-PapersOnLine. Volume 49, Issue 18. Monterey: IFAC, 2016, s. 368-373. ISSN 2405-8963.
[The 10th IFAC Symposium on Nonlinear Control Systems, Monterey, California, USA (2016). Monterey, California (US), 23.08.2016-25.08.2016]
Grant CEP: GA ČR GA13-20433S
Institucionální podpora: RVO:67985556
Klíčová slova: Numerical Methods * Bifurcation and Chaos
Kód oboru RIV: BC - Teorie a systémy řízení

Experimental numerical analysis of the analytical series technique to solve nonlinear systems based on the so-called Adomian polynomials expansions will be presented here. Unlike standard dierence methods like Runge-Kutta schemes of various orders, the Adomian method enables to compute a single approximation on relatively long time intervals. The corresponding lengths can be combined with the order of the polynomial expansions, thereby providing variety of trade-os between them to achieve similar accuracy. The generalized Lorenz chaotic system has been chosen as a testing platform.
Trvalý link: http://hdl.handle.net/11104/0265537