Title : ( Fractional spectral differentiation matrices based on Legendre approximation )
Authors: Asghar Ghorbani , Dumitru Baleanu ,
Full TextAbstract
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.
Keywords
, Fractional spectral differentiation matrices, Fractional calculus, Legendre polynomials, Numerical differentiation
@article{paperid:1079780,
author = {Ghorbani, Asghar and دیمیتری بالنو},
title = {Fractional spectral differentiation matrices based on Legendre approximation},
journal = {Advances in Difference Equations},
year = {2020},
volume = {2020},
number = {1},
month = {March},
issn = {1687-1847},
keywords = {Fractional spectral differentiation matrices; Fractional calculus; Legendre polynomials; Numerical differentiation},
}
%0 Journal Article
%T Fractional spectral differentiation matrices based on Legendre approximation
%A Ghorbani, Asghar
%A دیمیتری بالنو
%J Advances in Difference Equations
%@ 1687-1847
%D 2020
