Structure Preserving Schemes for Nonlinear Fokker–Planck Equations and Applications
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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
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
Nonlinear Fokker-Planck equations in super-diffusive and sub-diffusive regimes
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DOI: 10.1063/1.5001189
Abstract: Anomalous-diffusion phenomena are very common in nature and may be suitably described by means of nonlinear Fokker-Planck equations, characterized by specific types of nonlinear diffusion contributions. The most explored situations in the literature consist in… read more here.
Keywords: fokker planck; diffusion; nonlinear fokker; planck equations ... See more keywords
Lie Symmetry Analysis and Invariant Solutions of a Nonlinear Fokker-Planck Equation Describing Cell Population Growth
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DOI: 10.1155/2020/4975943
Abstract: In this paper, a complete Lie symmetry analysis is performed for a nonlinear Fokker-Planck equation for growing cell populations. Moreover, an optimal system of one-dimensional subalgebras is constructed and used to find similarity reductions and… read more here.
Keywords: planck equation; fokker planck; lie symmetry; symmetry analysis ... See more keywords