Numerical Methods for Solving Fredholm Integral Equations of Second Kind-Reference-Cited by-同舟云学术

Numerical Methods for Solving Fredholm Integral Equations of Second Kind

Published:2013 Issue: Volume:2013 Page:1-17
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ray S. Saha¹^ORCID,Sahu P. K.¹

Affiliation:

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

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/426916.pdf

Reference24 articles.

1. Linear and Nonlinear Integral Equations

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3. Variational iteration method – a kind of non-linear analytical technique: some examples

4. SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

5. Variational iteration method—Some recent results and new interpretations

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