Objectives. The study aims to theoretically derive the power law observed in practice for the distribution of characteristics of sociodynamic processes from the stationary Fokker–Planck equation and apply the non-stationary Fokker–Planck equation to ...
J. P. Perova, S. A. Lesko, A. A. Ivanov
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Numerical Solution of Fokker-Planck-Kolmogorov Time Fractional Differential Equations Using Legendre Wavelet Method Along with convergence and error analysis [PDF]
The purpose of this paper is to present an efficient numerical method for finding numerical solutions Fokker-Planck-Kolmogorov time-fractional differential equations.The Legendre wavelet approach was employed for this objective. The Legendre wave was the
شعبان محمدی +1 more
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We describe an implicit procedure for solving linear equation systems resulting from the discretization of the three dimensional (seven variables) linear Fokker-Planck equation. The discretization of the Fokker-Planck equation is performed using a twenty-
Arnoldi +31 more
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Periodic long-time behaviour for an approximate model of nematic polymers
We study the long-time behaviour of a nonlinear Fokker-Planck equation, which models the evolution of rigid polymers in a given flow, after a closure approximation.
Bris, Claude Le +2 more
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Binary spectral collocation method for the nonlinear Fokker-Planck equation
A mixed Laguerre-Legendre spectral collocation schemes is constructed for initial-boundary value problem of the nonlinear Fokker-Planck nonhomogeneous equations and the linear Fokker-Planck homogeneous equation by using the Laguerre interpolation ...
Zhang Yajin, Wang Tianjun, Tan Jia
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Brownian motion of grains and negative friction in dusty plasmas
Within the approximation of dominant charging collisions the explicit microscopic calculations of the Fokker-Planck kinetic coefficients for highly-charged grains moving in plasma are performed.
S.A.Trigger, A.G.Zagorodny
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About Fokker-Planck equation with measurable coefficients and applications to the fast diffusion equation [PDF]
The object of this paper is the uniqueness for a $d$-dimensional Fokker-Planck type equation with non-homogeneous (possibly degenerated) measurable not necessarily bounded coefficients. We provide an application to the probabilistic representation of the
Belaribi, Nadia, Russo, Francesco
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Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. [PDF]
Boehm U, Cox S, Gantner G, Stevenson R.
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Global existence for the Vlasov–Euler–Fokker–Planck system in low-regularity space
This paper investigates the global well-posedness of the Cauchy problem for the Vlasov–Fokker–Planck equation coupled with the incompressible Euler system around a normalized global Maxwellian in a periodic spatial domain.
Bing Tan, Yingzhe Fan
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A Finite Difference–Hybrid Block Framework for Efficient Solution of Fokker-Planck Problems [PDF]
We present a new numerical method to solve linear and non-linear Fokker-Planck equations. Our technique is based on a combination of finite differences and block hybrid methods.
Morteza Bisheh-Niasar +2 more
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