@article{MAKHILLIJEPE20082225109, title = {Numerical Solution of Hallen`s Integral Equation by the Chebyshev Pseudospectral Method}, journal = {International Journal of Electrical and Power Engineering}, volume = {2}, number = {2}, pages = {77-80}, year = {2008}, issn = {1990-7958}, doi = {ijepe.2008.77.80}, url = {https://makhillpublications.co/view-article.php?issn=1990-7958&doi=ijepe.2008.77.80}, author = {Amjad Alipanah}, keywords = {Hallen`s integral equation,pseudospectral method,Chebyshev nodes,cell-averaging technique}, 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.} }