Numerical evaluation of fractional differ-integrals of some periodical functions via the IMT transformation

• Autorzy: Brzeziński D. , Ostalczyk P.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional-order derivatives and integrals; accuracy of numerical calculations; numerical integration; IMT Transformation

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2012
• Tom: Vol. 60, nr 2
• Strony: 285--292
• Opis fizyczny: Bibliogr. 17 poz., rys., tab.

Twórcy

autor

Brzeziński D.

autor

Ostalczyk P.

• Faculty of Electrical, Electronic, Computer and Control Engineering, Computer Engineering Institute, Lodz University of Technology, 18/22 Stefanowskiego St., 90-537 Łódź, Poland,

Bibliografia

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