Mathematical Problems in Engineering
Volume 2005 (2005), Issue 5, Pages 547-554
doi:10.1155/MPE.2005.547

Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method

B. Sepehrian1 and M. Razzaghi2,3

1Department of Mathematics, Arak University, Tehran, Iran
2Department of Mathematics and Statistics, Mississippi State University, 39762, MS, USA
3Department of Applied Mathematics, Amirkabir University of Technology, Tehran 15914, Iran

Received 5 November 2004

Copyright © 2005 B. Sepehrian and M. Razzaghi. 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

Single-term Walsh series are developed to approximate the solutions of nonlinear Volterra-Hammerstein integral equations. Properties of single-term Walsh series are presented and are utilized to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples.