An efficient method for fourth-order boundary value problems
โ Scribed by Muhammad Aslam Noor; Syed Tauseef Mohyud-Din
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 210 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
In this paper, we apply the variational iteration method for solving fourth order boundary value problems. The analytical results are in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the method. Comparison is made to confirm the reliability of this technique. Variational iteration technique can be viewed as an efficient and reliable method for solving a wide class of linear and nonlinear boundary value problems.
๐ SIMILAR VOLUMES
A compact finite difference method with non-isotropic mesh is proposed for a two-dimensional fourth-order nonlinear elliptic boundary value problem. The existence and uniqueness of its solutions are investigated by the method of upper and lower solutions, without any requirement of the monotonicity
A fourth-order accurate finite difference method is developed for a class of fourth order nonlinear two-point boundary value problems. The method leads to a pentadiagonal scheme in the linear cases, which often arise in the beam deflection theory. The convergence of the method is tested numerically
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