The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions

Joint Authors

Fu, Yanli
Yao, Huanmin

Source

Journal of Function Spaces

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

Mathematics

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