1403/01/30
حسین جعفری

حسین جعفری

مرتبه علمی: استاد
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم ریاضی
نشانی:
تلفن: 2466

مشخصات پژوهش

عنوان
Study of fractional order Van der Pol equation
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Oscillator equation; Damping; Homotopy analysis method; Embedding parameter; Error analysis; Limit cycle
سال
2016
مجله Journal of King Saud University - Science
شناسه DOI
پژوهشگران V Mishra ، S Das ، Hossein Jafari ، S.H Ongc

چکیده

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.