Numerical Solutions for the Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equations
Joint Authors
Lin, Yingzhen
Niu, Jing
Zhang, Chiping
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-21
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We present an efficient numerical scheme for solving three-point boundary value problems of nonlinear fractional differential equation.
The main idea of this method is to establish a favorable reproducing kernel space that satisfies the complex boundary conditions.
Based on the properties of the new reproducing kernel space, the approximate solution is obtained by searching least value techniques.
Moreover, uniformly convergence and error estimation are provided for our method.
Numerical experiments are presented to illustrate the performance of the method and to confirm the theoretical results.
American Psychological Association (APA)
Zhang, Chiping& Niu, Jing& Lin, Yingzhen. 2012. Numerical Solutions for the Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-465822
Modern Language Association (MLA)
Zhang, Chiping…[et al.]. Numerical Solutions for the Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-465822
American Medical Association (AMA)
Zhang, Chiping& Niu, Jing& Lin, Yingzhen. Numerical Solutions for the Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-465822
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465822