The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
An iterative algorithm is proposed for solving the solution of a nonlinear fourth-order differential equation with integral boundary conditions.
Its approximate solution un(x) is represented in the reproducing kernel space.
It is proved that un(x) converges uniformly to the exact solution u(x).
Moreover, the derivatives of un(x) are also convergent to the derivatives of u(x).
Numerical results show that the method employed in the paper is valid.
American Psychological Association (APA)
Fu, Yanli& Yao, Huanmin. 2014. The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1040735
Modern Language Association (MLA)
Fu, Yanli& Yao, Huanmin. The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions. Journal of Function Spaces No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1040735
American Medical Association (AMA)
Fu, Yanli& Yao, Huanmin. The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1040735
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040735