Numerical Methods for Solving Fredholm Integral Equations of Second Kind. (18th December 2013)

• Record Type: Journal Article
• Authors: Ray, S. Saha; Sahu, P. K.
• Other Names: Bera Rasajit Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-12-18
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/426916
• Languages: English
• ISSNs: 1085-3375

Abstract

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.