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

*(English)*Zbl 1238.70018From the introduction: In this paper a kind of analytical technique for a general nonlinear 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 nonlinear problems with approximations converging rapidly to accurate solutions.

##### MSC:

70K40 | Forced motions for nonlinear problems in mechanics |

70-08 | Computational methods for problems pertaining to mechanics of particles and systems |

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##### References:

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