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

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. 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. The equations are more interesting for \beta > 0 . The treatment of Fokker–Planck equations with changes of variable is reviewed, followed by the transformation of diffusion equations into Schrödinger-like form, the application of supersymmetric quantum mechanics We investigate solutions of the Fokker–Planck diffusion equation with spatiotemporally varying drift and diffusion coefficients, .. Risken: The Fokker-Planck Equation: Methods of Solution and Applications (Springer, Berlin, 1989) 2nd ed. This has two solutions, r = 0 and r = \sqrt{\beta} . But now it's not stable: if r is between 0 .. Since r = 0 is a solution, the origin is still an equilibrium. Diffusion equations on Cantor sets. Cooper, Klein and Sukhatme (1995) give a good general introduction to supersymmetry methods in quantum mechanics. The Fokker-Planck equation: methods of solution and applications book download. Download The Fokker-Planck equation: methods of solution and applications.