The Fokker-Planck equation: methods of solution and applications. H. Risken

The Fokker-Planck equation: methods of solution and applications


The.Fokker.Planck.equation.methods.of.solution.and.applications.pdf
ISBN: 0387130985,9780387130989 | 485 pages | 13 Mb


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The Fokker-Planck equation: methods of solution and applications H. Risken
Publisher: Springer-Verlag




Risken, The Fokker-Planck Equation: Methods of Solution and Applications, Springer, 1995. If I could produce an equivalent solution by applying the Maximum Entropy Principle directly to the Fokker-Planck equation, then this would give a better foundation for the "inspection" result above. The operation of a molecular motor is dominated by high viscous friction and large thermal fluctuations from surrounding fluid. The method is based upon hybrid function approximate. Risken, The Fokker-Planck Equation: Methods of Solution and Applications, vol. A formal analogy of the Fokker–Planck equation with the Schrodinger equation allows the use of advanced operator techniques known from quantum mechanics for its solution in a number of cases. The properties of hybrid There has recently been much attention devoted to the search for better and more efficient solution methods for determining a solution, approximate or exact, analytical or numerical, to nonlinear models [3–5]. Diffusion equations on Cantor sets. Of chemical occupancy state is modeled by a continuous time discrete space Markov process. Some examples are given to illustrate the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives. Shastri Anant R., Element of Differential Topology, CRC, February 2011. The probability density of a motor-cargo system is governed by a two-dimensional Fokker-Planck equation. The Fredholm-type equations, which have many applications in mathematical physics, are then considered. ISSN 0172-7389, ISBN 3-540-50498-2. A nice and brief introduction into stochastioc processes. Jumarie, “Probability calculus of fractional order and fractional Taylor's series application to Fokker-Planck equation and information of non-random functions,” Chaos, Solitons and Fractals, vol. Statistical Methods, 3rd Edition; Academic Press, January 2011.