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Numerical solution for the time-fractional Fokker–Planck equation via shifted Chebyshev polynomials of the fourth kind

机译:第四类移位的Chebyshev多项式的时间分数Fokker-Planck方程的数值解

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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.
机译:本文提供了一种解决时间分数Fokker-Planck方程(FFPE)的数值方法。 作者使用Shifted Chebyshev Collocation方法和有限差分法(FDM)将分数Fokker-Planck方程呈现为非线性方程的系统; Newton-Raphson方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的方法的简单性和效率。

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