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Conference Paper (international conference)

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

Beran Zdeněk, Čelikovský Sergej

: IFAC-PapersOnLine. Volume 49, Issue 18, p. 368-373

: The 10th IFAC Symposium on Nonlinear Control Systems, Monterey, California, USA (2016), (Monterey, California, US, 23.08.2016-25.08.2016)

: GA13-20433S, GA ČR

: Numerical Methods, Bifurcation and Chaos

: 10.1016/j.ifacol.2016.10.193

(eng): 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.

: BC

07.01.2019 - 08:39