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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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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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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The spiking activity of single neurons can be well described by a nonlinear integrate-and-fire model that includes somatic adaptation. When exposed to fluctuating inputs sparsely coupled populations of these model neurons exhibit stochastic collective ...
Moritz Augustin +3 more
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Solution of the Fokker-Planck Equation by Cross Approximation Method in the Tensor Train Format. [PDF]
Chertkov A, Oseledets I.
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Patient treatment prediction by continuous time random walk inside complex system
Stochastic resonance model for medical patient condition is proposed. Approach has been generalized by means of fractional Fokker-Planck equation and subdiffusion processes.
Walczak Andrzej
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Non-Normalizable Quasi-Equilibrium Solution of the Fokker-Planck Equation for Nonconfining Fields. [PDF]
Anteneodo C +3 more
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In the presence of electron cyclotron current drive (ECCD), the Ohm’s law of single fluid magnetohydrodynamics (MHD) is modified as E + v × B = η(J – JECCD).
Westerhof E., Pratt J., Ayten B.
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Solving the inverse problem of time independent Fokker-Planck equation with a self supervised neural network method. [PDF]
Liu W, Kou CKL, Park KH, Lee HK.
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Nonlinear Fokker-Planck Equation in the Model of Asset Returns
The Fokker-Planck equation with diffusion coefficient quadratic in space variable, linear drift coefficient, and nonlocal nonlinearity term is considered in the framework of a model of analysis of asset returns at financial markets.
Alexander Shapovalov +2 more
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