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 schemeα developed by Galucio et al. .
7.1 Grünwald-Letnikov...
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Numerical approximation of the fractional derivative
Calculating a Fourier transform using the residual method
Bibliography
- (1) - BAGLEY (R.L.), TORVIK (P.J.) - Fractional calculus – a different approach to the analysis of viscoelastically damped structures - AIAA Journal, 21 : 741-748 (1983).
- (2) - BAGLEY (R.L.), TORVIK (P.J.) - On the fractional calculus model of viscoelastic behavior - Journal of Rheology, 30 : 133-155...
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