TY - JOUR
ID - 103191
TI - A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials
JO - Computational Mathematics and Computer Modeling with Applications (CMCMA)
JA - CMCMA
LA - en
SN -
AU - Sabermahani, Sedigheh
AU - Ordokhani, Yadollah
AD - Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
Y1 - 2022
PY - 2022
VL - 1
IS - 2
SP - 65
EP - 73
KW - Fractional-order Fokker-Planck equations
KW - Touchard polynomials
KW - Pseudo-operational matrix
DO - 10.52547/CMCMA.1.2.65
N2 - 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.
UR - https://cmcma.sbu.ac.ir/article_103191.html
L1 - https://cmcma.sbu.ac.ir/article_103191_a65a15a361eef420f4621f235599453b.pdf
ER -