Fractional Spectral Differentiation Matrices Based on Legendre Approximation
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Date
2020
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Springeropen
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Abstract
A simple scheme is proposed for computing NxN spectral differentiation matrices of fractional order alpha 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.
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Fractional Spectral Differentiation Matrices, Fractional Calculus, Legendre Polynomials, Numerical Differentiation
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Ghorbani, Asghar; Baleanu, Dumitru (2020). "Fractional spectral differentiation matrices based on Legendre approximation", Advances in Difference Equations, Vol. 2020, No. 1.
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Q1
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5
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2020
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1
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