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Mathematical Problems in Engineering
Volume 2006 (2006), Article ID 73714, 10 pages

Linearization method for solving nonlinear integral equations

Department of Mathematics, Faculty of Science, Urmia University, Urmia P.O. Box 165, Iran

Received 16 May 2005; Revised 12 September 2005; Accepted 23 October 2005

Copyright © 2006 P. Darania et al. 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.


The objective of this paper is to assess both the applicability and the accuracy of linearization method in several problems of general nonlinear integral equations. This method provides piecewise linear integral equations which can be easily integrated. It is shown that the accuracy of linearization method can be substantially improved by employing variable steps which adjust themselves to the solution. This approach can reveal that, under this method, the nonlinear integral equations can be transformed into the linear integral equations which may be integrated using classical methods. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method.