1403/01/10
حسین جعفری

حسین جعفری

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

مشخصات پژوهش

عنوان
Numerical approach of Fokker–Planck equation with Caputo–Fabrizio fractional derivative using Ritz approximation
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Fokker–Planck equation, Caputo–Fabrizio fractional derivative, Basis functions
سال
2018
مجله JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
شناسه DOI
پژوهشگران M Arab Firoozjaee ، Hossein Jafari ، A Lia ، Dumitru Baleanu

چکیده

In this manuscript, a type of Fokker–Planck equation (FPE) with Caputo–Fabrizio fractional derivative is considered. We present a numerical approach which is based on the Ritz method with known basis functions to transform this equation into an optimization problem. It leads to a nonlinear algebraic system. Then, we obtain the coefficients of basis functions by solving the algebraic system. The convergence of this technique is discussed extensively. Three examples are included to show the applicability and validity of this method.