Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2013, Article ID 426916, 17 pages
http://dx.doi.org/10.1155/2013/426916
Research Article

Numerical Methods for Solving Fredholm Integral Equations of Second Kind

Department of Mathematics, National Institute of Technology, Rourkela 769008, India

Received 3 September 2013; Accepted 3 October 2013

Academic Editor: Rasajit Bera

Copyright © 2013 S. Saha Ray and P. K. Sahu. 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.

Abstract

Integral equation has been one of the essential tools for various areas of applied mathematics. In this paper, we review different numerical methods for solving both linear and nonlinear Fredholm integral equations of second kind. The goal is to categorize the selected methods and assess their accuracy and efficiency. We discuss challenges faced by researchers in this field, and we emphasize the importance of interdisciplinary effort for advancing the study on numerical methods for solving integral equations.