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Mathematical Problems in Engineering
Volume 2009, Article ID 786368, 10 pages
Research Article

Fourier Approximation for Integral Equations on the Real Line

Department of Mathematics, Faculty of Science, K. N. Toosi University of Technology, P.O. Box 16765-165, Tehran 19697, Iran

Received 8 February 2009; Accepted 22 May 2009

Academic Editor: Francesco Pellicano

Copyright © 2009 S. M. Hashemiparast and H. Fallahgoul. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Based on Guass quadradure method a class of integral equations having unknown periodic solution on the real line is investigated, by using Fourier series expansion for the solution of the integral equation and applying a process for changing the interval to the finite interval ( 1 ; 1), the Chebychev weights become appropriate and examples indicate the high accuracy and very good approximation to the solution of the integral.