Solution of Hammerstein Integral Equations with Hybrid of Block - pulse and Walsh Functions

In this paper a numerical method for finding the solution of Fredholm – Hammerstein integral equations is proposed. At first the properties of the hybrid functions, which consist of block-pulse functions plus walsh functions are presented. The properties of the hybrid functions with the operational matrices of integration together Newton-cotes nodes are then utilized to reduce the solution of integral equation to the solution of algebraic equations. The method is computationally attractive and application are demonstrated through illustrative examples.