%0 Journal Article
%T Shifted Legendre Tau Method for Solving the Fractional Stochastic Integro-Differential Equations
%J Global Analysis and Discrete Mathematics
%I Damghan University Press
%Z 2476-5341
%A Azimi, Ruhangiz
%A Mohagheghy Nezhad, Mostafa
%A Foadian, Saedeh
%D 2021
%\ 11/01/2021
%V 6
%N 2
%P 221-241
%! Shifted Legendre Tau Method for Solving the Fractional Stochastic Integro-Differential Equations
%K Shifted Legendre polynomials
%K Fractional stochastic integro-differential equation
%K Ito integral
%R 10.22128/gadm.2021.491.1065
%X In this paper, the Tau method based on shifted Legendre polynomials is proposed for solving a class of fractional stochastic integro-differential equations. For this purpose, shifted Legendre polynomials and their properties are introduced. By using the operational matrices of integration and stochastic Ito-integration we transform the problem into the corresponding linear system of algebraic equations. Finally the efficiency of the proposed method is confirmed by some examples. The results show that this method is very accurate and efficient.
%U https://gadm.du.ac.ir/article_224_cfd90650de4bbf92864047c9ca1defd8.pdf