Engineering and Technology Journal

Abstract

The main portion of the paper is devoted for constructing approximated
solutions of linear integral equations with multiple time lags (IEMTL) using two
different types of basis functions B-spline functions and Orthogonal functions
containing (Laguerre and Hermite) with the aid of expansion methods (collocation
method, Partition method and Galerkin’s method). Algorithms with the aid of
Matlab language are derived for treating these equations using expansion methods.
Comparison between the exact and approximated results of these methods with the
aid of basis functions are given via two test examples and accurate results are
achieved.