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Sabermahani, Sedigheh, Ordokhani, Yadollah. (1401). A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials. , 1(2), 65-73. doi: 10.52547/CMCMA.1.2.65
Sedigheh Sabermahani; Yadollah Ordokhani. "A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials". , 1, 2, 1401, 65-73. doi: 10.52547/CMCMA.1.2.65
Sabermahani, Sedigheh, Ordokhani, Yadollah. (1401). 'A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials', , 1(2), pp. 65-73. doi: 10.52547/CMCMA.1.2.65
Sabermahani, Sedigheh, Ordokhani, Yadollah. A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials. , 1401; 1(2): 65-73. doi: 10.52547/CMCMA.1.2.65

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
آمار
تعداد مشاهده مقاله: 202
تعداد دریافت فایل اصل مقاله: 352