In the Fokker-Planck equation
, the so called Kramers-Moyal coefficients [D.
A numerical method based on the finite volume method for solving Fokker-Planck equation
was developed to simulate the fiber orientation distribution of fiber suspensions flowing through a curved expansion duct.
The Fokker-Planck equations
, methods of solution and applications.
In Section 3 we investigate the transport operator in the Fokker-Planck equation
Complex-valued viscosity solutions to the Navier-Stokes equations were also analyzed by Nottale leading to the Fokker-Planck equation
This would require a new solution to the Fokker-Planck equation
for an initial orientation state using the method of characteristics.
Many methods, such as Fokker-Planck equations
, time averaging methods, and stochastic calculus are used on optimal harvesting problems for model (2); all the aforementioned works can be found in Alvarez and Shepp , Li and Wang , and Li et al.
They include results of laboratory verifications, and present the active Brownian motion model for swarm dynamics with corresponding Fokker-Planck equations
The appropriate system of the inter-linked Fokker-Planck equations
can be transformed to the dimensions less form