Variational iteration technique for solving higher order boundary value problems

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摘要

In this paper, we have shown that higher order boundary value problems can be written as a system of integral equations, which can be solved by using the variational iteration technique. 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. Comparisons are made to confirm the reliability of the technique. Variational iteration technique may be considered as alternative and efficient for finding the approximate solutions of the boundary values problems.

论文关键词:Variational iteration,Nonlinear problems,Boundary value problems,System of integral equations,Approximate solution

论文评审过程:Available online 10 January 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2006.12.071