Article citationsMore>>

Z. M. Odibat and S. Momani, “Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order,” International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 7, No. 1, 2006, pp. 27-34. doi:10.1515/IJNSNS.2006.7.1.27

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.