The nonlinear fractional-order Fokker–Planck differential equations have been used in many physical transport problems which take place under the influence of an external force filed. Therefore, high-accuracy numerical solutions are always needed. In this article, reproducing kernel theory is used to solve a class of nonlinear fractional Fokker–Planck differential equations. The main characteristic of this approach is that it induces a simple algorithm to get the approximate solution of the equation. At the same time, an effective method for obtaining the approximate solution is established. In addition, some numerical examples are given to demonstrate that our method has lesser computational work and higher precision.
A New Numerical Method for Solving Nonlinear Fractional Fokker–Planck Differential Equations
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received September 17, 2016; final manuscript received January 21, 2017; published online March 9, 2017. Assoc. Editor: Anindya Chatterjee.
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Guo, B., Jiang, W., and Zhang, C. (March 9, 2017). "A New Numerical Method for Solving Nonlinear Fractional Fokker–Planck Differential Equations." ASME. J. Comput. Nonlinear Dynam. September 2017; 12(5): 051004. https://doi.org/10.1115/1.4035896
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