## Differential Equations and Nonlinear Mechanics

### Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems

#### Abstract

We implement a relatively new analytical technique, the variational iteration decomposition method (VIDM), for solving the eighth-order boundary value problems. The proposed method is an elegant combination of variational iteration method and decomposition method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Numerical work is given to check the efficiency of the method. Comparisons are made to confirm the reliability and accuracy of the technique. The technique can be used as an alternative for solving nonlinear boundary value problems.

#### Article information

Source
Differ. Equ. Nonlinear Mech., Volume 2007 (2007), Article ID 019529, 16 pages.

Dates
Revised: 10 November 2007
Accepted: 11 December 2007
First available in Project Euclid: 26 January 2017

https://projecteuclid.org/euclid.ijde/1485399785

Digital Object Identifier
doi:10.1155/2007/19529

Mathematical Reviews number (MathSciNet)
MR2332146

Zentralblatt MATH identifier
1143.49023

#### Citation

Noor, Muhammad Aslam; Mohyud-Din, Syed Tauseef. Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems. Differ. Equ. Nonlinear Mech. 2007 (2007), Article ID 019529, 16 pages. doi:10.1155/2007/19529. https://projecteuclid.org/euclid.ijde/1485399785

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