Some algorthim for solving system of linear volterra integral equation of second kind by using MATLAB 7

In this paper it is study and modify some Quadrature method to solve system of Volterra integral equation of order 1 and using some Algorithm to appear steps of solve using two kind of Quadrature method (Trapezium Simpson 1/3) and comparing between to method. The leas square error and running time to find the result t by using modify program (MATLAB) version 7, product 2009. the Simpson s rule, very good method all less the leas square error running time.