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Zbl 1242.65154
Rafei, M.; Ganji, D.D.; Daniali, H.; Pashaei, H.
The variational iteration method for nonlinear oscillators with discontinuities. (English)
[J] J. Sound Vib. 305, No. 4-5, 614-620 (2007). ISSN 0022-460X

Summary: 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 leads to high accuracy of the solutions. Moreover, we show that the obtained approximate solutions are valid for the whole solution domain and the approximations are uniformly valid not only for small parameters, but also for very large parameters.

MSC 2000:: *65L99 Numerical methods for ODE
34C15 Nonlinear oscillations of solutions of ODE
34A45 Theoretical approximation of solutions of ODE

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Zentralblatt MATH Berlin [Germany]