%0 Journal Article
%T Legendre Spectral Tau Method for Solving the Fractional Integro-Differential Equations with A Weakly Singular Kernel
%J Global Analysis and Discrete Mathematics
%I Damghan University
%Z 2476-5341
%A Azimi, Ruhangiz
%A Mohagheghy Nezhad, Mostafa
%A Pourgholi, Reza
%D 2022
%\ 11/01/2022
%V 7
%N 1
%P 11-31
%! Legendre Spectral Tau Method for Solving the Fractional Integro-Differential Equations with A Weakly Singular Kernel
%K Shifted Legendre Tau method
%K Weakly singular kernel
%K Fractional integro-differential equation
%R 10.22128/gadm.2022.490.1063
%X In this paper, the Tau method based on shifted Legendre polynomials has been introduced to approximate the numerical solutions of a class of fractional integro-differential equations with a weakly singular kernel . By using operational matrices we reduce the problem to a set of algebraic equations . Also the upper bound of the error of the shifted Legendre expansion is investigated. Finally, several numerical examples are given to illustrate the high accuracy of the method.
%U https://gadm.du.ac.ir/article_234_b3cab2cf521ba19ee62921621913bf2a.pdf