A Comparative Study of Analytical Solutions to the Coupled Van-der-Pol’s Non-linear Circuits Using the He’s Method (HPEM) and (BPES)
Makaleler > Tam Makale · 2011
Yazarlar: Hüseyin Koçak, Ahmet YILDIRIM, Dahong Zhang, Karem Boubaker, Syed Tauseef Mohyud-Din
Circuits and Systems, Uluslararası, 2011, cilt 02, ss 196-200
Özet
In this paper, the He’s parameter-expanding method (HPEM) and the 4q-Boubaker Polynomials Expansion Scheme (BPES) are used in order to obtain analytical solutions to the non-linear modified Van der Pol’s oscillating circuit equation. The resolution protocols are applied to the ordinary Van der Pol equation, which annexed to conjoint delayed feedback and delay-related damping terms. The results are plotted, and compared with exact solutions proposed elsewhere, in order to evaluate accuracy.