Study of fractional order Van der Pol equation

Journal of King Saud University: Science

V. Mishra¹  S. Das¹  H. Jafari²  S.H. Ong³ 

[1] Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 21005, India;Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran;Institute of Mathematical Sciences, University of Malaya, Kuala Lumpur 50603, Malaysia;

关键词: Oscillator equation;    Damping;    Homotopy analysis method;    Embedding parameter;    Error analysis;    Limit cycle;   

DOI  :  10.1016/j.jksus.2015.04.005

来源: DOAJ

【 摘 要 】

In this article, Homotopy analysis method is successfully used to find the approximate solution of fractional order Van der Pol equation. The fractional derivative is described in the Caputo sense.The numerical computations of convergence control parameters for the acceleration of convergence of approximate series solution are obtained by the analysis of minimization of error for different particular cases and the results are depicted through graphs. The salient feature of the article is the graphical presentation of achieving limit cycles for different parameters.

【 授权许可】

Unknown