Document Type : Research Paper
Associate Professor, Mathematics and Computer Science Department, Adib mazandaran institute of higher education, Sari, Iran
Associate Professor,Mathematica and Computer Science Department, Adib mazandaran institute of higher education, Sari, Iran
School of Mathematics and Computer Sciences, Damghan University, P.O.Box 36715-364, Damghan, Iran.
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.