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- Title
Numerical algorithms for approximation of fractional integral operators based on quadratic interpolation.
- Authors
Blaszczyk, Tomasz; Siedlecki, Jaroslaw; Ciesielski, Mariusz
- Abstract
We present numerical algorithms calculating compositions of the left and right fractional integrals. We apply quadratic interpolation and obtain the fractional Simpson's rule. We estimate the local truncation error of the proposed approximations, calculate errors generated by presented algorithms, and determine the experimental rate of convergence. Finally, we show examples of numerical evaluation of these operators.
- Subjects
FRACTIONAL integrals; ALGORITHMS; APPROXIMATION theory; INTEGRAL operators; INTERPOLATION; SIMPSON'S rule (Numerical analysis)
- Publication
Mathematical Methods in the Applied Sciences, 2018, Vol 41, Issue 9, p3345
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4828