1. Modified Three-Point Fractional Formulas with Richardson Extrapolation.
- Author
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Batiha, Iqbal M., Alshorm, Shameseddin, Ouannas, Adel, Momani, Shaher, Ababneh, Osama Y., and Albdareen, Meaad
- Subjects
- *
EXTRAPOLATION , *FRACTIONAL calculus , *VALUES (Ethics) - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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