%0 Journal Article %T ALGEBRAIC NONLINEARITY IN VOLTERRA-HAMMERSTEIN EQUATIONS %J Journal of Sciences, Islamic Republic of Iran %I University of Tehran %Z 1016-1104 %D 1999 %\ 03/01/1999 %V 10 %N 1 %P - %! ALGEBRAIC NONLINEARITY IN VOLTERRA-HAMMERSTEIN EQUATIONS %R %X Here a posteriori error estimate for the numerical solution of nonlinear Voltena- Hammerstein equations is given. We present an error upper bound for nonlinear Voltena-Hammastein integral equations, in which the form of nonlinearity is algebraic and develop a posteriori error estimate for the recently proposed method of Brunner for these problems (the implicitly linear collocation method).We also generalize this upper bound for nonlinear Volterra integro-differential and Volterra- Hammerstein integral equations of mixed type . Finally, several numerical examples are gken to show effectiveness of these bounds %U https://jsciences.ut.ac.ir/article_31353_09a6a58c2bf7fe986feb7599569288ca.pdf