Approximate Solution of Class of Nonlinear Fractional Integro-Differential Equations Using Bernstein Polynomial and Shifted Legendre Polynomials Methods

摘要

In this paper, we compare Bernstein polynomials method (BPM), and Shifted Legendre Polynomials method (SLPM), in order to obtain an approximate solution of nonlinear fractional integro-differential equations of Volterra and Fredholm integro-differential equations. We present some examples to find out accuracy of each method.