TITLE:
Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator
AUTHORS:
T. A. Nofel
KEYWORDS:
Nonlinear Oscillators, Homotopy Perturbation Method, Fractional Van der Pol Damped Nonlinear Oscillator, Heat Transfer
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.6,
April
2,
2014
ABSTRACT: In this paper, a
powerful analytical method, called He’s homotopy perturbation method is applied
to obtaining the approximate periodic solutions for some nonlinear differential
equations in mathematical physics via Van der Pol damped non-linear oscillators
and heat transfer. Illustrative examples reveal that this method is very
effective and convenient for solving nonlinear differential equations.
Comparison of the obtained results with those of the exact solution, reveals
that homotopy perturbation method leads to accurate solutions.