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Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator

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DOI: 10.4236/am.2014.56081    6,865 Downloads   8,500 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Nofel, T. (2014) Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator. Applied Mathematics, 5, 852-861. doi: 10.4236/am.2014.56081.

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