In this paper, He's variational iteration method (VIM) is applied to nonlinear oscillators with discontinuities. We illustrate that the VIM is very effective and convenient and does not require linearization or small perturbation. Contrary to the conventional methods, in VIM, only one iteration lead
Variational approach for nonlinear oscillators with discontinuities
β Scribed by Da-Hua Shou
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 297 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In this paper, He's variational approach is applied to the nonlinear oscillators with discontinuities. We conclude that the method is very effective, accurate and convenient. Moreover, the approximate solutions obtained are uniformly valid for both small parameters and large parameters.
π SIMILAR VOLUMES
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In this work, the Hamiltonian approach is applied to obtain the natural frequency of the Duffing oscillator, the nonlinear oscillator with discontinuity and the quintic nonlinear oscillator. The Hamiltonian approach is then extended to the second and third orders to find more precise results. The ac