International Journal of Electrical and Power Engineering

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Numerical Solution of Hallen`s Integral Equation by the Chebyshev Pseudospectral Method

Amjad Alipanah
Page: 77-80 | Received 21 Sep 2022, Published online: 21 Sep 2022

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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.

How to cite this article:

Amjad Alipanah . Numerical Solution of Hallen`s Integral Equation by the Chebyshev Pseudospectral Method.
DOI: https://doi.org/10.36478/ijepe.2008.77.80
URL: https://www.makhillpublications.co/view-article/1990-7958/ijepe.2008.77.80