This paper present a numerical method for solving Hallen's integral equation based on Chebyshev pseudospectral method. The method consists of representing the solution of the Hallen's integral equation by $N$th degree interpolating polynomial, using Chebyshev nodes, and then discritizing the problem using a cell-averaging technique. Properties of Chebyshev pseudospectral are presented, then utilize to reduce the computation of Hallen's integral equation to some algebraic equation. The method computationally attractive, and applications are demonstrate through an illustrative example.
