Application of the variational iteration method to some nonlinear one-dimensional oscillations. (English) Zbl 1238.70018

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.


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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