مشخصات پژوهش

عنوان	Numerical solution of non-linear Fokker–Planck equation using finite differences method and the cubic spline functions
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	Collocation technique Cubic spline Finite differences method Nonlinear Fokker–Planck equation Partial differential equations
چکیده	In this paper we proposed a finite difference scheme for solving the nonlinear Fokker–Planck equation.We apply a finite difference approximation for discretizing spatial derivatives. Then we use the cubic C1-spline collocation method which is an A-stable method for the time integration of the resulting nonlinear system of ordinary differential equations. The proposed method has second-order accuracy in space and fourth-order accuracy in time variables. The numerical results confirm the validity of the method.
پژوهشگران	مرضیه کریمی رادپور (نفر دوم)، بهنام سپهریان (نفر اول)