^{1}Department of Mathematics, Hamedan University of Technology, Hamedan, 65156-579, Iran.

^{2}Department of Mathematics, Lorestan University, Khoramabad, Iran.

^{3}Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran.

Abstract

In this paper, the Bernstein polynomials are used to approximate the solutions
of linear integral equations with multiple time lags (IEMTL) through expansion methods
(collocation method, partition method, Galerkin method). The method is discussed in detail
and illustrated by solving some numerical examples. Comparison between the exact and
approximated results obtained from these methods is carried out.