Advances in Difference Equations, Volume (2020), No (1), Year (2020-3)
Title : ( Fractional spectral differentiation matrices based on Legendre approximation )
Authors: Asghar Ghorbani , Dumitru Baleanu ,File: 
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A simple scheme is proposed for computing N×N spectral differentiation matrices of fractional order α for the case of Legendre approximation. The algorithm derived here is based upon a homogeneous three-term recurrence relation and is numerically stable. The matrices are then applied to numerically differentiate.
