Mathematical Problems in Engineering 
Volume 2005 (2005), Issue 1, Pages 113-121
doi:10.1155/MPE.2005.113

Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets

M. Lakestani,1 M. Razzaghi,1,2 and M. Dehghan1

 1Department of Applied Mathematics, Amirkabir University of Technology, Tehran 15914, Iran
2Department of Mathematics and Statistics, Mississippi State University, 39762, MS, USA
Received 16 June 2004

Abstract

Compactly supported linear semiorthogonal B-spline wavelets together with their dual wavelets are developed to approximate the solutions of nonlinear Fredholm-Hammerstein integral equations. Properties of these wavelets are first presented; these properties are then utilized to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through an illustrative example.