The asymptotic solution of a singularly perturbed Cauchy problem for Fokker-Planck equation
The asymptotic method is a very attractive area of applied mathematics. There are many modern research directions which use a small parameter such as statistical mechanics, chemical reaction theory and so on. The application of the Fokker-Planck equation
Mohamed A. Bouatta +2 more
doaj +1 more source
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
doaj +1 more source
Composite Laguerre pseudospectral method for Fokker-Planck equations
A composite generalized Laguerre pseudospectral method for the nonlinear Fokker-Planck equations on the whole line is developed. Some composite generalized Laguerre interpolation approximation results are established.
Chuan Wang, Tianjun Wang, Youlin Shang
doaj +1 more source
Fokker–Planck equation on fractal curves [PDF]
A Fokker Planck equation on fractal curves is obtained, starting from Chapmann-Kolmogorov equation on fractal curves. This is done using the recently developed calculus on fractals, which allows one to write differential equations on fractal curves. As an important special case, the diffusion and drift coefficients are obtained, for suitable transition
Satin, Seema E. +2 more
openaire +3 more sources
Stochastic analysis of ocean wave states with and without rogue waves
This work presents an analysis of ocean wave data including rogue waves. A stochastic approach based on the theory of Markov processes is applied. With this analysis we achieve a characterization of the scale-dependent complexity of ocean waves by means ...
A Hadjihosseini, J Peinke, N P Hoffmann
doaj +1 more source
An efficient iterative method for solving the Fokker–Planck equation
In the present paper, the new iterative method proposed by Daftardar-Gejji and Jafari (NIM or DJM) (2006) is used to solve the linear and nonlinear Fokker–Planck equations and some similar equations.
M.A. AL-Jawary
doaj +1 more source
Understanding Fluid Dynamics from Langevin and Fokker–Planck Equations
The Langevin equations (LE) and the Fokker−Planck (FP) equations are widely used to describe fluid behavior based on coarse-grained approximations of microstructure evolution.
Andrei Medved +2 more
doaj +1 more source
Entropic Analysis of Protein Aggregation using Langevin Equations and Fokker–Planck Equations
Protein aggregation is a sophisticated biological mechanism that can have detrimental consequences. It is recognized as the hallmark of neurodegenerative diseases, suffered by millions of people each year reported by World Health Organization, [Formula ...
Leslie Cook, Preet Sharma
doaj +1 more source
Self-Averaging Scaling Limits of Two-Frequency Wigner Distribution for Random Paraxial Waves [PDF]
Two-frequency Wigner distribution is introduced to capture the asymptotic behavior of the space-frequency correlation of paraxial waves in the radiative transfer limits. The scaling limits give rises to deterministic transport-like equations.
Adler R J +11 more
core +7 more sources
Parallelizing the Kolmogorov-Fokker-Planck equation [PDF]
We design the first parallel scheme based on Schwarz waveform relaxation methods for the Kolmogorov-Fokker-Planck equation. We introduce a new convergence proof for the algorithms. We also provide results about the existence and uniqueness of a solution for this equation with several boundary conditions, in order to prove that our algorithms are well ...
Luca Gerardo-Giorda, Minh Binh Tran
openaire +3 more sources

