Pseudo-spectral Matrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation

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GHOLAMI S.; BABOLIAN E.; JAVIDI M.

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Journal: International Journal of Industrial Mathematics Year:2021 | Volume:13 | Issue:1 Page(s): 1-13

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Title

Pseudo-spectral Matrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation

Author(s)

GHOLAMI S. | BABOLIAN E. | JAVIDI M. | Issue Writer Certificate

Keywords

Grunwald

Letnikov Derivative;Pseudo

Spectral Integration Matrix;Gauss

Lobatto Points;Fractional Fokker

Planck Equation

Abstract

This paper presents a new numerical method to solve time fractional Fokker-Planck Equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed.

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APA: Copy

GHOLAMI, S., BABOLIAN, E., & JAVIDI, M.. (2021). Pseudo-spectral Matrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 13(1), 1-13. SID. https://sid.ir/paper/970282/en

Vancouver: Copy

GHOLAMI S., BABOLIAN E., JAVIDI M.. Pseudo-spectral Matrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2021;13(1):1-13. Available from: https://sid.ir/paper/970282/en

IEEE: Copy

S. GHOLAMI, E. BABOLIAN, and M. JAVIDI, “Pseudo-spectral Matrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 13, no. 1, pp. 1–13, 2021, [Online]. Available: https://sid.ir/paper/970282/en

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