Российский технологический журналObjectives. 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]
مدلسازی پیشرفته ریاضیThe 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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, 2005 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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Thermodynamics and fractional Fokker-Planck equations [PDF]
Physical Review E, 2001 The relaxation to equilibrium in many systems which show strange kinetics is described by fractional Fokker-Planck equations (FFPEs). These can be considered as phenomenological equations of linear nonequilibrium theory. We show that the FFPEs describe the system whose noise in equilibrium funfills the Nyquist theorem.
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Periodic long-time behaviour for an approximate model of nematic polymers
, 2011 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
Journal of Algorithms & Computational TechnologyA 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
Condensed Matter Physics, 2004 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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Efficient numerical approximation of a non-regular Fokker-Planck equation associated with first-passage time distributions. [PDF]
BIT Numer Math, 2022 Boehm U, Cox S, Gantner G, Stevenson R.
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About Fokker-Planck equation with measurable coefficients and applications to the fast diffusion equation [PDF]
, 2012 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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Global existence for the Vlasov–Euler–Fokker–Planck system in low-regularity space
Results in Applied MathematicsThis 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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