Legendre wavelet method for solving Hammerstein integral equations of the second kind

Abstract

An e cient method, based on the Legendre wavelets, is proposed to solve the<br />second kind Fredholm and Volterra integral equations of Hammerstein type.<br />The properties of Legendre wavelet family are utilized to reduce a nonlinear<br />integral equation to a system of nonlinear algebraic equations, which is easily<br />handled with the well-known Newton's method. Examples assuring e ciency<br />of the method and its superiority are presented.