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

Author(s):

Sedigheh Sabermahani , Yadollah Ordokhani *

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
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

Language:
English
Published:
Journal of Computational Mathematics and Computer Modeling with Applications, Volume:1 Issue: 2, Summer and Autumn 2022
Pages:
65 to 73
https://www.magiran.com/p2601153  
سامانه نویسندگان
  • Author (1)
    Sedigheh Sabermahani
    Assistant Professor Mathematics Education, Farhangian University, Tehran, Iran
    Sabermahani، Sedigheh
  • Corresponding Author (2)
    Yadollah Ordokhani
    (1380) دکتری ریاضی، Alzahra University
    Ordokhani، Yadollah
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