Title of article :
A computational approach for solving fractional integral equations based on Legendre collocation method
Author/Authors :
Yousefi, A Department of Computer Science - Faculty of Mathematical Sciences and Computer - Kharazmi University , Javadi, S Department of Computer Science - Faculty of Mathematical Sciences and Computer - Kharazmi University , babolian, E Department of Computer Science - Faculty of Mathematical Sciences and Computer - Kharazmi University
Abstract :
In this paper, we propose a new method for solving second-order fractional integral equations. By using of spectral collocation method based on Gauss–Legendre–Lobatto points, a system of algebraic equations is obtained and then, we get a solution based on Legendre polynomials. If L2 norm is used, this proposed method has a favorable convergence rate, which is shown by some examples.
Keywords :
Legendre spectral collocation method , Fractional integral equation , Fractional order
