@article{Batiha2023, 
author = {Iqbal M. Batiha and Shameseddin Alshorm and Iqbal Jebril and Amjed Zraiqat and  Zaid Momani and Shaher Momani},
title = {Modified 5-point fractional formula with Richardson extrapolation},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {4},
pages = {9520-9534},
keywords = {Richardson extrapolation, Riemann-Liouville fractional derivative and integral, Lagrange interpolating polynomial, Caputo derivative},
url = {https://www.sciopen.com/article/10.3934/math.2023480},
doi = {10.3934/math.2023480},
abstract = {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.}
}