A computational method to solve fractional-order Fokker-Planck equations based on Touchard polynomials
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMCMA-1-2_007
تاریخ نمایه سازی: 10 تیر 1403
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.
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Authors
Sedigheh Sabermahani
Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
Yadollah Ordokhani
Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran