Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid of Block-Pulse Functions and Chebyshev Polynomials
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-31
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A numerical method for solving nonlinear Fredholm integral equations of second kind is proposed.
The Fredholm-type equations, which have many applications in mathematical physics, are then considered.
The method is based upon hybrid function approximate.
The properties of hybrid of block-pulse functions and Chebyshev series are presented and are utilized to reduce the computation of nonlinear Fredholm integral equations to a system of nonlinear.
Some numerical examples are selected to illustrate the effectiveness and simplicity of the method.
American Psychological Association (APA)
Yang, Changqing. 2011. Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid of Block-Pulse Functions and Chebyshev Polynomials. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-464288
Modern Language Association (MLA)
Yang, Changqing. Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid of Block-Pulse Functions and Chebyshev Polynomials. Mathematical Problems in Engineering No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-464288
American Medical Association (AMA)
Yang, Changqing. Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid of Block-Pulse Functions and Chebyshev Polynomials. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-464288
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464288
