Fokker-Planck partial differential equation
Nonlinear Kinetics on a Lattice Featuring Anomalous Diffusion
... to Fokker-Planck partial differential equations that represent the dynamics of physical systems in continuous ...nonlinear Fokker-Planck equations have become very popular in ...
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A stochastic differential equation analysis of cerebrospinal fluid dynamics
... the Fokker-Planck partial differential equation, the problem is non-trivial, but Karlin and Taylor [31] circumvent the difficulty by solving a boundary-value problem associated with ...
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On Optimal Sparse Control Problems Governed by Jump Diffusion Processes
... by a Fokker-Planck partial integro-differential equation were investigated. The exis- tence of at least an optimal control solution was proven. To characterize and compute the optimal ...
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Symmetry Analysis of the Fokker Planck Equation
... the Fokker Planck equation (1) already exists in the ...this equation. The symmetry analysis of the equation (1) that we have performed highlights the fact that the potential symmetries ...
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Approximate Methods for Local Fractional Integral Equations
... fractional Fokker- Planck equation, anomalous diffusion and relaxation equation in frac- tal space, fractal heat conduction equation, fractal-time dynamical sys- tems, fractal ...
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NUMERICAL SOLUTION OF TIME-FRACTIONAL ORDER FOKKER-PLANCK EQUATION
... In this paper, New iterative method (NIM) is applied to find the numerical solution of time- fractional Fokker-Planck equations. Recently, Daftardar-Gejji, Jafari and others [17-22] proposed a new iterative ...
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SOLUTION OF SPACE -TIME FRACTIONAL FOKKER PLANCK EQUATION BY HOMOTOPY ANALYSIS METHOD
... this equation is a linear second-order partial differential equation of parabolic ...diffusion equation with an additional first-order derivative with respect to ...
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Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations
... fractional partial differential ...time-fractional Fokker-Planck equation, the cubic nonlinear time-fractional Schr¨ odinger equation and the time-fractional KdV ...
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On the Application of Fokker Planck Equation to Psychological Future Time
... between Fokker-Planck or forward Kol- mogorov equation and psychological future time which is based on quantum ...Kolmogorov equation is a parabolic partial differential ...
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Natural Transform for Solving Fractional Models
... nonlinear partial differential equations have been the focus of extensive studies for the last ...nonlinear Fokker-Planck equation, fractional nonlinear Schrödinger equation and ...
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Conversion of dynamic social network stochastic differential equation model to Fokker-Planck model
... While it is not conceptually daunting to implement this numerical method there are some difficulties. Note the multiple summations in the expres- sions for F (x, t) and G(x, t), some of which involve the calculation of ...
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Numerical solution of Fokker-Planck equation using the integral radial basis function networks
... The Fokker Planck Equation (FPE) is a partial differential equation for the prob- ability density and transition probability of a random ...solving partial ...
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Functional Fokker-Planck Equation Approach for a Gompertzian Model of Tumour Cell Growth
... Since cancer is a major death cause in our soci- ety, mathematical modelling of tumour growth has become a fast-growing area of research. Most stud- ies stem out of mechanistic population growth mod- els which consist of ...
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Fokker Planck equation for Kolmogorov operators associated to stochastic PDE with multiplicative noise
... the equation involving second order partial differential operators in infinite dimensional ...the Fokker-Planck equation for Kolmogorov operators associated to the SPDEs with ...
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Conservative and entropic numerical schemes for the non homogeneous Fokker-Planck-Landau equation
... Abstract . In this paper, we investigate the approximation of the solution to the Vlasov equation coupled with the Fokker-Planck-Landau collision operator using a phase space grid. On the one hand, ...
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What Economists can learn from physics and finance
... For the benefit of readers who are economists, here’s specifically what we did (McCauley, 2004). Gemunu Gunaratne first deduced the exponential distribution from financial market histograms. I used the known average ...
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Large fluctuations and irreversibility in nonequilibrium systems
... sponding Fokker-Plank equation, or by using a path integral formulation and evaluating the path inte- gral over the fluctuational paths in the steepest de- scent approximation (for details and discussion ...
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The Friedman rule and inflation targeting
... The Fokker-Planck (that is, the Chapman-Kolmogorov) equation is then invoked to retrieve the steady state (that is, unconditional) probability distribution for the rate of ...
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A Closed Form Formulation for the Build Up Factor and Absorbed Energy for Photons and Electrons in the Compton Energy Range in Cartesian Geometry
... Transport Equation for Photons and Electrons in a Rectangular Domain by the Laplace Transform Technique,” International Journal of Nuclear Energy Science and Technology, ...
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Solution of the master equation for Wigner's quasiprobability distribution in phase space for the Brownian motion of a particle in a double well potential
... classical Fokker- Planck equation by matrix continued fractions 1 may be adapted to the solution of the master equation for the quan- tum Brownian motion in an anharmonic ...master ...
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