Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker–Planck equations
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DOI: 10.1007/s00211-019-01094-y
Abstract: In this article, we propose and study several discrete versions of homogeneous and inhomogeneous one-dimensional Fokker–Planck equations. In particular, for these discretizations of velocity and space, we prove the exponential convergence to the equilibrium of… read more here.
Keywords: fokker planck; time; coercivity hypocoercivity; planck equations ... See more keywords
Subspace approximation to the cosmic ray Fokker-Planck equation with perpendicular diffusion
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DOI: 10.1007/s10509-021-03976-w
Abstract: The Fokker-Planck equation describing the diffusion of energetic particles interacting with turbulence is difficult to solve analytically. Numerical solutions are of course possible but they are not useful for applications. In the past a subspace… read more here.
Keywords: fokker planck; diffusion; subspace approximation; planck equation ... See more keywords
Structure Preserving Schemes for Nonlinear Fokker–Planck Equations and Applications
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-017-0510-z
Abstract: In this paper we focus on the construction of numerical schemes for nonlinear Fokker–Planck equations that preserve the structural properties, like non negativity of the solution, entropy dissipation and large time behavior. The methods here… read more here.
Keywords: fokker planck; schemes nonlinear; nonlinear fokker; planck equations ... See more keywords
Large-Time Behavior of Solutions to Vlasov-Poisson-Fokker-Planck Equations: From Evanescent Collisions to Diffusive Limit
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DOI: 10.1007/s10955-018-1963-7
Abstract: The present contribution investigates the dynamics generated by the two-dimensional Vlasov-Poisson-Fokker-Planck equation for charged particles in a steady inhomogeneous background of opposite charges. We provide global in time estimates that are uniform with respect to… read more here.
Keywords: fokker planck; tau; poisson fokker; time ... See more keywords
On Convergence to Stationary Distributions for Solutions of Nonlinear Fokker–Planck–Kolmogorov Equations
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DOI: 10.1007/s10958-019-04467-8
Abstract: We obtain conditions under which solutions to a nonlinear Fokker–Planck–Kolmogorov equation with the diffusion matrix depending on the solution converge to the stationary solution. read more here.
Keywords: fokker planck; solutions nonlinear; nonlinear fokker; planck kolmogorov ... See more keywords
Numerical methods for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-019-00800-z
Abstract: In this paper, we study the numerical schemes for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion. The main challenges of the numerical schemes come from the singularity… read more here.
Keywords: planck equation; fokker planck; tempered fractional; fractional brownian ... See more keywords
Exact solutions of Fokker–Planck equation via the Nikiforov–Uvarov method
Sign Up to like & getrecommendations! Published in 2020 at "Indian Journal of Physics"
DOI: 10.1007/s12648-020-01900-6
Abstract: We propose a powerful approach to provide the exact solutions of the time-dependent Fokker–Planck equation (FPE) for a given pair of drift and diffusion functions in stochastic phenomena. First, we briefly review Nikiforov–Uvarov mathematical method… read more here.
Keywords: planck equation; fokker planck; nikiforov uvarov; method ... See more keywords
Predictive drug dosage control through a Fokker–Planck observer
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DOI: 10.1007/s40314-017-0542-x
Abstract: During the years, various techniques have been presented for optimal control of tumor growth for which its stochastic behavior has rarely been considered. This article uses the well-known Gompertz stochastic model, for describing tumor growth,… read more here.
Keywords: fokker planck; control; drug dosage; tumor ... See more keywords
Numerical analysis of the Fokker-Planck equation with adiabatic focusing: Realistic pitch-angle scattering
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DOI: 10.1016/j.asr.2016.10.027
Abstract: Abstract We solve the focused transport equation of cosmic rays numerically to investigate non-isotropic models of the pitch-angle scattering coefficient. In previous work, the Fokker-Planck equation was solved either analytically by using approximations, or by… read more here.
Keywords: equation; fokker planck; angle scattering; pitch angle ... See more keywords
Pseudospectral solutions of the Fokker-Planck equation for Pearson diffusion that yields a Kappa distribution; the associated SUSY Schrödinger equation
Sign Up to like & getrecommendations! Published in 2021 at "Computational and Theoretical Chemistry"
DOI: 10.1016/j.comptc.2020.113059
Abstract: Abstract Numerous satellite measurements of the energy distributions of electrons and ions in the solar system and beyond can be fitted with the Kappa distribution. The origin of these Kappa distributions has attracted considerable attention.… read more here.
Keywords: planck equation; fokker planck; pseudospectral solutions; kappa distribution ... See more keywords
A Fokker–Planck equation based approach for modelling wind speed and its power output
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DOI: 10.1016/j.enconman.2020.113152
Abstract: Abstract The main purpose of this article is to estimate the wind power generation in Juchitan de Zaragoza-Mexico based on stochastic analysis of the average wind speed. This estimation is carried out by simulating numerically… read more here.
Keywords: fokker planck; power output; wind power; power ... See more keywords