This paper presents a computational technique for the solution of the nonlinear Fredholm-Hammerstein integral and integro-differential equations. A hybrid of block-pulse functions and the second kind Chebyshev polynomials (hereafter called as HBC) is used to approximate the nonlinear Fredholm-Hammerstein integral and integro-differential equations. The main properties of HBC are presented. Also, the operational matrix of integration together with the Newton-Cotes nodes are applied to reduce the computation of the nonlinear Fredholm-Hammerstein integral and integro-differential equations into some algebraic equations. The efficiency and accuracy of the proposed method have shown by three numerical examples.
