- Tytuł:
- Numerical evaluation of fractional differ-integrals of some periodical functions via the IMT transformation
- Autorzy:
-
Brzeziński, D.
Ostalczyk, P. - Powiązania:
- https://bibliotekanauki.pl/articles/201340.pdf
- Data publikacji:
- 2012
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
fractional-order derivatives and integrals
accuracy of numerical calculations
numerical integration
IMT Transformation - Opis:
- This paper presents accuracy evaluation of the numerical calculations of the fractional differ-integrals. We focus on applying the Riemann-Liouville formula, on singularity, which appears while using classical form of this formula. To calculate it we use the Newton-Cotes’ Quadrature and additionally two Gaussian rules. Using this different approach to the IMT Transformation, transforming the “core” integrand of Riemann-Liouville formula, we point the possible way of increasing the accuracy of the calculations. We use our own tools and compare obtained results with, where possible, exact values, where not – values obtained using an excellent method of integration incorporated in Mathematica.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2012, 60, 2; 285-292
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł