A new view of the Bubnov-Galerkin method in the linearization context

Nguyen Dong Anh, I. Elishakoff
Author affiliations

Authors

  • Nguyen Dong Anh Institute of Mechanics, Hanoi, Vietnam
  • I. Elishakoff Florida Atlantic University, Boca Raton, USA

DOI:

https://doi.org/10.15625/0866-7136/34/1/423

Keywords:

Bubnov-Galerkin, nonlinear, stochastic, Duffing

Abstract

In the study an extension of the Bubnov-Galerkin method in terms of the equivalent linearization method is presented. It is combined with sequential linearization and nonlinear procedure to yield a new method for solving nonlinear equations which can improve the accuracy when the nonlinearity is strong. For illustration the Duffing oscillator is considered to show the effectiveness of the proposed method.

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Published

01-03-2012

Issue

Section

Research Article