Solution of integral equations via Laguerre polynomials

Abstract A unique property of the convolution integral of Laguerre polynomials is applied to solve convolution integrla and three important types of integral equations: the first order integral equation of the first kind, the second order integral equation of the first kind, and the integral equation of the second kind. Recursive algorithms for solving these integral equations are developed and are particularly attractive to digital computation. Examples are given for illustration.