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

Joint Authors

Yang, Changqing
Hou, Jianhua
Qin, Beibo

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-04-09

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Hou, Jianhua& Qin, Beibo& Yang, Changqing. 2012. Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993551

Modern Language Association (MLA)

Hou, Jianhua…[et al.]. Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-993551

American Medical Association (AMA)

Hou, Jianhua& Qin, Beibo& Yang, Changqing. Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993551

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-993551