A COLLOCATION METHOD TO THE SOLUTION OF NONLINEAR FREDHOLM-HAMMERSTEIN INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS

This paper presents a computational technique for the solution of the nonlinear Fredholm-Hammerstein integral and integrodi erential 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-dierential 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 integrodi erential equations into some algebraic equations. The eciency and accuracy of the proposed method have been shown by three numerical examples.