The variational iteration method is introduced to solve a nonlinear system of second-order boundary value problems. Numerical results demonstrate that this method is promising and readily implemented.
Variational iteration method for solving sixth-order boundary value problems
β Scribed by Muhammad Aslam Noor; Khalida Inayat Noor; Syed Tauseef Mohyud-Din
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 203 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1007-5704
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β¦ Synopsis
In this paper, we have shown that sixth-order boundary value problems can be transformed into a system of integral equations, which can be solved by using variational iteration method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the method. It is observed that the proposed technique is more useful and is easier to implement because one does not need to calculate the Adomian's polynomials which is itself a difficult task.
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