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Zbl 1238.70018
Marinca, Vasile; Herişanu, Nicolae; Bota, Constantin
Application of the variational iteration method to some nonlinear one-dimensional oscillations. (English)
[J] Meccanica 43, No. 1, 75-79 (2008). ISSN 0025-6455; ISSN 1572-9648/e

From 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 2000:: *70K40 Forced motions (general mechanics)
70-08 Computational methods (mechanics of particles and systems)

Keywords: nonlinear equations; variational iteration method; periodic solutions; nonlinear dynamics

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