Application of Laguerre Polynomials For Solving Infinite Boundary Integrodifferential Equations

In this study‎, ‎an efficient method is presented for solving infinite boundary integro-differential equations (ibide) of the second kind with degenerate kernel in terms of laguerre polynomials‎. ‎properties of these polynomials and operational matrix of integration are first presented‎. ‎these properties are then used to transform the integral equation to a matrix equation which corresponds to a linear system of algebraic equations with unknown laguerre coefficients‎. ‎we prove the convergence analysis of method applied to the solution integro-differential equations‎. ‎finally‎, ‎numerical examples illustrate the efficiency and accuracy of the method.