A Legendre-spectral scheme for solution of nonlinear system of Volterra-Fredholm integral equations

Abstract

This paper gives an e cient numerical method for solving the nonlinear system<br />of Volterra-Fredholm integral equations. A Legendre-spectral method based on<br />the Legendre integration Gauss points and Lagrange interpolation is proposed<br />to convert the nonlinear integral equations to a nonlinear system of equations<br />where the solution leads to the values of unknown functions at collocation<br />points.