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S. Fridjine and M. Amlouk, “A New Parameter: An ABACUS for Optimizig Functional Materials Using the Boubaker Polynomials Expansion Scheme,” Modern Physics Letters B, Vol. 23, No. 17, 2009, pp. 2179-2182. doi:10.1142/S0217984909020321

has been cited by the following article:

• TITLE: A Comparative Study of Analytical Solutions to the Coupled Van-der-Pol’s Non-linear Circuits Using the He’s Method (HPEM) and (BPES)

  AUTHORS: Hüseyin Koçak, Ahmet Yıldırım, Dahong Zhang, Karem Boubaker, Syed Tauseef Mohyud-Din

  KEYWORDS: Van-der-Pol’s Oscillating Circuit, Delayed Feedback, Damping, BPES, HPEM, Exact Solutions, Electrical Triode-Valve Circuit

  JOURNAL NAME: Circuits and Systems, Vol.2 No.3, July 29, 2011

  ABSTRACT: 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.