Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
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.
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), 65–73. https://doi.org/10.52547/CMCMA.1.2.65
MLA
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), 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
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), 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
