Lagrange collocation method for solving Volterra-Fredholm integral equations

In this paper, the Lagrange collocation method is used to solve the Volterra-Fredholm integral equations. This method transforms the system of the linear integral equations into matrix equations via Lagrange collocation points. The Lagrange collocation solution of the three kinds of Volterra-Fredholm integral equations and the error estimate of these equations are given. Some numerical examples are presented to illustrate the accuracy of the method.