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Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method

Author

Listed:
  • H. M. Younas

    (Department of Mathematics, Islamia University of Bahawalpur, Bahawalpur 63100, Paakistan)

  • Muhammad Mustahsan

    (Department of Mathematics, Islamia University of Bahawalpur, Bahawalpur 63100, Paakistan)

  • Tareq Manzoor

    (Energy Research Center, COMSATS University, Lahore 54000, Pakistan)

  • Nadeem Salamat

    (Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan 64200, Pakistan)

  • S. Iqbal

    (Department of Informatics and Systems, School of Systems and Technology, University of Management and Technology, Lahore 54000, Pakistan)

Abstract

In this article, Optimal Homotopy Asymptotic Method (OHAM) is used to approximate results of time-fractional order Fokker-Planck equations. In this work, 3rd order results obtained through OHAM are compared with the exact solutions. It was observed that results from OHAM have better convergence rate for time-fractional order Fokker-Planck equations. The solutions are plotted and the relative errors are tabulated.

Suggested Citation

  • H. M. Younas & Muhammad Mustahsan & Tareq Manzoor & Nadeem Salamat & S. Iqbal, 2019. "Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method," Mathematics, MDPI, vol. 7(3), pages 1-19, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:264-:d:213959
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    References listed on IDEAS

    as
    1. Salem Alkhalaf, 2017. "Third-Order Approximate Solution of Chemical Reaction-Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-8, February.
    2. He, Ji-Huan & Wu, Xu-Hong, 2006. "Construction of solitary solution and compacton-like solution by variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 108-113.
    3. Zak, Michail, 2006. "Expectation-based intelligent control," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 616-626.
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