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- Title
Modified Three-Point Fractional Formulas with Richardson Extrapolation.
- Authors
Batiha, Iqbal M.; Alshorm, Shameseddin; Ouannas, Adel; Momani, Shaher; Ababneh, Osama Y.; Albdareen, Meaad
- Abstract
In this paper, we introduce new three-point fractional formulas which represent three generalizations for the well-known classical three-point formulas; central, forward and backward formulas. This has enabled us to study the function's behavior according to different fractional-order values of α numerically. 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.
- Subjects
EXTRAPOLATION; FRACTIONAL calculus; VALUES (Ethics)
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 19, p3489
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10193489