Numerical approximation of the fractional derivative
Introduction to the fractional derivative

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Numerical approximation of the fractional derivative


Introduction to the fractional derivative

Authors : François DUBOIS, Ana Cristina GALUCIO, Nelly POINT

Publication date: April 10, 2010 | Lire en français

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7. Numerical approximation of the fractional derivative

Two finite-difference approximation methods are outlined here. The first approximation technique is linked to the Grünwald-Letnikov definition. It consists in approximating the fractional derivative by a decentered upstream finite-difference scheme, accurate to first order. The second method uses a second-order, off-center backward scheme. This is the G scheme α developed by Galucio et al. .

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