Volume 2, Issue 1, January 2017, Page: 1-5
Investigation of the Numerical Solution of Integral Equation with Kernels Involving Logarithmic Functions
Azhari Ahmad Abdalla, Department of Mathematics, University of Hail, Hail, Saudi Arabia
Received: Nov. 21, 2016;       Accepted: Nov. 30, 2016;       Published: Jan. 3, 2017
DOI: 10.11648/j.mcs.20170201.11      View  3424      Downloads  161
Abstract
The main aim of this paper is to investigate the numerical solution of first kind integral equation of logarithmic kernel when using spectral method. Our approach consists of limiting the boundary to the unit interval and specify a logarithmic kernel. The behavior of the solution on the unit interval was analyzed and the advantages and disadvantages of this approach was shown.
Keywords
Integral Equation, Spectral Method, Logarithmic Kernel
To cite this article
Azhari Ahmad Abdalla, Investigation of the Numerical Solution of Integral Equation with Kernels Involving Logarithmic Functions, Mathematics and Computer Science. Vol. 2, No. 1, 2017, pp. 1-5. doi: 10.11648/j.mcs.20170201.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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