Modified 5-point fractional formula with Richardson extrapolation

Modified 5-point fractional formula with Richardson extrapolation

In this paper, we establish a novel fractional numerical modification of the 5-point classical central formula; called the modified 5-point fractional formula for approximating the first fractional-order derivative in the sense of the Caputo operator. Accordingly, we then introduce a new methodology...

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Bibliographic Details
Main Authors: Iqbal M. Batiha, Shameseddin Alshorm, Iqbal Jebril, Amjed Zraiqat, Zaid Momani, Shaher Momani
Format: Article
Language:English
Published: AIMS Press 2023-02-01
Series:AIMS Mathematics
Subjects:
richardson extrapolation
riemann-liouville fractional derivative and integral
lagrange interpolating polynomial
caputo derivative
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023480?viewType=HTML
Description
Summary:In this paper, we establish a novel fractional numerical modification of the 5-point classical central formula; called the modified 5-point fractional formula for approximating the first fractional-order derivative in the sense of the Caputo operator. Accordingly, we then introduce a new methodology for Richardson extrapolation depending on the fractional central formula in order to obtain a high accuracy for the gained approximations. We compare the efficiency of the proposed methods by using tables and figures to show their reliability.
ISSN:2473-6988

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