求解摄动问题的一种新方法

A New Approach to Perturbation Problems

本文提出了求解摄动问题的一种新方法——变分迭代算法．这种方法不按小参数展开，而是先给出一个近似解，然后用拉氏乘子法校正其近似解，而拉氏乘子可用变分理论最佳识别．

In this paper, a novel method called the variational iteration method is proposed to solve perturbation problems. In this method, a correction functional is constructed by means of the generalized Lagrange multiplier, which can be identified via the variational theory. The initial approximation can be constructed with unknown constants, which, after a few iteration steps, can be determined by imposing the boundary conditions or in some other ways.