Authors : Amjad Alipanah
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.
Amjad Alipanah , 2008. Numerical Solution of Hallen`s Integral Equation by the Chebyshev Pseudospectral Method . International Journal of Electrical and Power Engineering, 2: 77-80.