Journal of Applied Mathematics
Volume 2012 (2012), Article ID 687030, 11 pages
http://dx.doi.org/10.1155/2012/687030
Research Article

Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method

Jianhua Hou, Beibo Qin, and Changqing Yang

Department of Science, Huaihai Institute of Technology, Lianyungang, Jiangsu 222005, China

Received 24 November 2011; Revised 4 February 2012; Accepted 12 February 2012

Academic Editor: Ch Tsitouras

Copyright © 2012 Jianhua Hou et al. 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

A numerical method to solve nonlinear Fredholm integral equations of second kind is presented in this work. The method is based upon hybrid function approximate. The properties of hybrid of block-pulse functions and Taylor series are presented and are utilized to reduce the computation of nonlinear Fredholm integral equations to a system of algebraic equations. Some numerical examples are selected to illustrate the effectiveness and simplicity of the method.