A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials | ||
| Computational Mathematics and Computer Modeling with Applications (CMCMA) | ||
| مقاله 8، دوره 1، شماره 2، اسفند 2022، صفحه 65-73 اصل مقاله (1022.23 K) | ||
| نوع مقاله: Regular paper | ||
| شناسه دیجیتال (DOI): 10.52547/CMCMA.1.2.65 | ||
| نویسندگان | ||
| Sedigheh Sabermahani؛ Yadollah Ordokhani* | ||
| Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Fractional-order Fokker-Planck equations؛ Touchard polynomials؛ Pseudo-operational matrix | ||
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آمار تعداد مشاهده مقاله: 296 تعداد دریافت فایل اصل مقاله: 453 |
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