Application of the variational iteration method to some nonlinear one-dimensional oscillations

knowns. A correction functional is constructed by a general Lagrange multiplier, which can be identified optimally via the variational theory. In this paper a kind of analytical technique for a general non-linear problem is presented. The problems are initially approximated with unknown constants, which can be further determined. The iterative process is constructed by a general Lagrange multiplier, which can be identified optimally via variational theory. This method is effective and accurate for non-linear problems with approximations converging rapidly to accurate solutions.