International Journal of Electrical and Power Engineering

137
Views

1
Downloads

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

By Research Area

Medicine & Public Health Life Sciences Engineering Mathematics Biomedicine Physics Chemistry Computer Science Earth Sciences Social Sciences Business and Management Psychology Materials Science Economics Education Environment Philosophy Statistics Law Political Science and International Relations Pharmacy Dentistry Energy Linguistics Geography Finance Criminology and Criminal Justice Medicine Cultural and Media Studies History Architecture / Design Literature Biomedical Sciences Religious Studies Education & Language Food Science & Nutrition Public Health

By Volume and Issue

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