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Numerical solution for the time-fractional Fokker–Planck equation via shifted Chebyshev polynomials of the fourth kind
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2020-06-24 , DOI: 10.1186/s13662-020-02779-7
Haile Habenom , D. L. Suthar

This paper provides a numerical approach for solving the time-fractional Fokker–Planck equation (FFPE). The authors use the shifted Chebyshev collocation method and the finite difference method (FDM) to present the fractional Fokker–Planck equation into systems of nonlinear equations; the Newton–Raphson method is used to produce approximate results for the nonlinear systems. The results obtained from the FFPE demonstrate the simplicity and efficiency of the proposed method.



中文翻译:

利用第四类移位的契比雪夫多项式对时间分数Fokker-Planck方程进行数值求解

本文提供了一种求解时间分数Fokker-Planck方程(FFPE)的数值方法。作者使用移位的Chebyshev配点法和有限差分法(FDM)将分数Fokker-Planck方程表示为非线性方程组。牛顿-拉夫森法用于产生非线性系统的近似结果。从FFPE获得的结果证明了所提出方法的简单性和效率。

更新日期:2020-06-24
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