Journal of Applied Mathematics

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

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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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 687030, 11 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495103

Digital Object Identifier
doi:10.1155/2012/687030

Mathematical Reviews number (MathSciNet)
MR2910906

Zentralblatt MATH identifier
1244.65241

Citation

Hou, Jianhua; Qin, Beibo; Yang, Changqing. Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method. J. Appl. Math. 2012 (2012), Article ID 687030, 11 pages. doi:10.1155/2012/687030. https://projecteuclid.org/euclid.jam/1355495103


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