A New Numerical Method for Solving Nonlinear Fractional Fokker-Planck Differential Equations

作者：Guo, BeiBei; Jiang, Wei^*; Zhang, ChiPing

来源：Journal of Computational and Nonlinear Dynamics, 2017, 12(5): 051004.

DOI：10.1115/1.4035896

• REPRODUCING KERNEL-METHOD
• ANOMALOUS DIFFUSION
• INTEGRODIFFERENTIAL EQUATIONS
• APPROXIMATIONS
• SPACE
• ORDER

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.

• 出版日期2017-9
• 单位哈尔滨工业大学