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2012 Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method
Jianhua Hou, Beibo Qin, Changqing Yang
J. Appl. Math. 2012: 1-11 (2012). DOI: 10.1155/2012/687030

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.

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Jianhua Hou. Beibo Qin. Changqing Yang. "Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method." J. Appl. Math. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/687030

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1244.65241
MathSciNet: MR2910906
Digital Object Identifier: 10.1155/2012/687030

Rights: Copyright © 2012 Hindawi

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