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Modified Three-Point Fractional Formulas with Richardson Extrapolation.
- Source :
-
Mathematics (2227-7390) . Oct2022, Vol. 10 Issue 19, p3489. 16p. - Publication Year :
- 2022
-
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]
- Subjects :
- *EXTRAPOLATION
*FRACTIONAL calculus
*VALUES (Ethics)
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 19
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 159673819
- Full Text :
- https://doi.org/10.3390/math10193489