On numerical approximation of the Riesz–Caputo operator with the fixed/short memory length
[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee
2021
scientific article
english
- fractional derivatives
- numerical schemes
- Caputo operator
- Riesz–Caputo operator
- fixed memory length
EN In this paper, the Riesz–Caputo operator is studied. This type of fractional operator is a combination of the left and right Caputo derivatives. The series representation of the analyzed fractional operators with fixed memory length is presented. In the main part of the paper, three modified methods of numerical integration are applied for the approximation of the left and right Caputo, and Riesz–Caputo derivatives. Numerical schemes based on three types of interpolating functions (constant, linear and quadratic function) are presented. The in-depth numerical analysis of the presented schemes is conducted. Absolute errors and experimental rates of convergence, for the considered methods, are calculated and presented.
31.10.2020
101220-1 - 101220-8
Article Number: 101220
CC BY-NC-ND (attribution - noncommercial - no derivatives)
open journal
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