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A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials

    Authors

    • Sedigheh Sabermahani
    • Yadollah Ordokhani

    Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran

,

Document Type : Regular paper

10.52547/CMCMA.1.2.65
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Abstract

This manuscript presents a new approximation method for fractional-order Fokker-Planck equations based on Touchard polynomial approximation. We provide new Caputo and extra Caputo pseudo-operational matrices for these polynomials. Then, utilizing mentioned pseudo-operational matrices and an optimal method, the considered equation leads to a system of algebraic equations which can be solved by mathematical software. Finally, we illustrate the advantages of the suggested technique through several numerical examples.

Keywords

  • Fractional-order Fokker-Planck equations
  • Touchard polynomials
  • Pseudo-operational matrix
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    • Article View: 155
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Computational Mathematics and Computer Modeling with Applications (CMCMA)
Volume 1, Issue 2 - Serial Number 2
December 2022
Pages 65-73
Files
  • XML
  • PDF 1022.23 K
History
  • Receive Date: 17 October 2022
  • Revise Date: 26 January 2023
  • Accept Date: 16 February 2023
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How to cite
  • RIS
  • EndNote
  • Mendeley
  • BibTeX
  • APA
  • MLA
  • HARVARD
  • CHICAGO
  • VANCOUVER
Statistics
  • Article View: 155
  • PDF Download: 338

APA

Sabermahani, S. and Ordokhani, Y. (2022). A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials. Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), 65-73. doi: 10.52547/CMCMA.1.2.65

MLA

Sabermahani, S. , and Ordokhani, Y. . "A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials", Computational Mathematics and Computer Modeling with Applications (CMCMA), 1, 2, 2022, 65-73. doi: 10.52547/CMCMA.1.2.65

HARVARD

Sabermahani, S., Ordokhani, Y. (2022). 'A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials', Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), pp. 65-73. doi: 10.52547/CMCMA.1.2.65

CHICAGO

S. Sabermahani and Y. Ordokhani, "A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials," Computational Mathematics and Computer Modeling with Applications (CMCMA), 1 2 (2022): 65-73, doi: 10.52547/CMCMA.1.2.65

VANCOUVER

Sabermahani, S., Ordokhani, Y. A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials. Computational Mathematics and Computer Modeling with Applications (CMCMA), 2022; 1(2): 65-73. doi: 10.52547/CMCMA.1.2.65

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