numerical approximation based on the bernouli polynomials for solving volterra integro-differential equations of high order

In this article ,an ap plied matrix method, which is based on bernouli polynomials, has been presented to find approximate solutions of high order volterra integrodifferential equations. through utilizing this approach, the proposed equations reduce to a system of algebric equations with unknown bernouli coefficients. a number of numerical illustrations have been solved to assert the credibility and practically of this method.