numerical solution of nonlinear fredholm-volterra integral equations via bell polynomials

in this paper, we propose and analyze an efficient matrix methodbased on bell polynomials for numerically solving nonlinear fredholm- volterraintegral equations. for this aim, first we calculate operational matrix of integration and product based on bell polynomials. by using these matrices, nonlinearfredholm-volterra integral equations reduce to the system of nonlinear algebraicequations which can be solved by an appropriate numerical method such as newton’s method. also, we show that the proposed method is convergent. some examples are provided to illustrate the applicability, efficiency and accuracy of thesuggested scheme. comparison of the proposed method with other previous methods shows that this method is very accurate.