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

This paper presents a computational technique for thesolution of the nonlinear fredholm-hammerstein integral and integrodierential equations. a hybrid of block-pulse functions and thesecond kind chebyshev polynomials (hereafter called as hbc) isused to approximate the nonlinear fredholm-hammerstein integraland integro-dierential equations. the main properties of hbcare presented. also, the operational matrix of integration togetherwith the newton-cotes nodes are applied to reduce the computationof the nonlinear fredholm-hammerstein integral and integrodierential equations into some algebraic equations. the eciencyand accuracy of the proposed method have been shown by threenumerical examples.