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A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method

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  • Muhammed I. Syam

    (Department of Mathematical Sciences, United Arab Emirates University, Al-Ain 15551, United Arab Emirates)

Abstract

In this paper, we investigate a numerical solution of Lienard’s equation. The residual power series (RPS) method is implemented to find an approximate solution to this problem. The proposed method is a combination of the fractional Taylor series and the residual functions. Numerical and theoretical results are presented.

Suggested Citation

  • Muhammed I. Syam, 2017. "A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method," Mathematics, MDPI, vol. 6(1), pages 1-9, December.
    • Handle: RePEc:gam:jmathe:v:6:y:2017:i:1:p:1-:d:123945
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    References listed on IDEAS

    as
    1. Suheil A. Khuri, 2001. "A Laplace decomposition algorithm applied to a class of nonlinear differential equations," Journal of Applied Mathematics, Hindawi, vol. 1, pages 1-15, January.
    2. Syam, Muhammed I., 2007. "The modified Broyden-variational method for solving nonlinear elliptic differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 392-404.
    3. Alquran, Marwan & Al-Khaled, Kamel & Sardar, Tridip & Chattopadhyay, Joydev, 2015. "Revisited Fisher’s equation in a new outlook: A fractional derivative approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 81-93.
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