Title of article :
Legendre Spectral Tau Method for Solving the Fractional Integro–Differential Equations with A Weakly Singular Kernel
Author/Authors :
Azimi ، Ruhangiz Adib mazandaran institute of higher education , Mohagheghy Nezhad ، Mostafa Adib mazandaran institute of higher education , Pourgholi ، Reza School of Mathematics and Computer Sciences - Damghan University
Abstract :
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.
Keywords :
Shifted Legendre Tau method , Weakly singular kernel , Fractional integro , differential equation
Journal title :
Global Analysis and Discrete Mathematics
Journal title :
Global Analysis and Discrete Mathematics
