Amjad Alipanah  , 
    Numerical Solution of Hallen`s Integral Equation by the Chebyshev Pseudospectral Method,
    International Journal of Electrical and Power Engineering,
    Volume 2,Issue 2,
    2008,
    Pages 77-80,
    ISSN 1990-7958,
    ijepe.2008.77.80,
    (https://makhillpublications.co/view-article.php?doi=ijepe.2008.77.80)
    Abstract: This study 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 Nth degree interpolating polynomial, using Chebyshev nodes and then discritizing the problem using a cell-averaging technique. Properties of Chebyshev pseudospectral method 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.
    Keywords: Hallen`s integral equation;pseudospectral method;Chebyshev nodes;cell-averaging technique