๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The variational iteration method for nonlinear oscillators with discontinuities

โœ Scribed by M. Rafei; D.D. Ganji; H. Daniali; H. Pashaei

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
144 KB
Volume
305
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis

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 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.

๐Ÿ“œ SIMILAR VOLUMES

Variational approach for nonlinear oscil
Variational approach for nonlinear oscillators with discontinuities
โœ Da-Hua Shou ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 297 KB

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.

Iterative methods for generalized nonlin
Iterative methods for generalized nonlinear variational inequalities
โœ M.Aslam Noor; E.A. Al-Said ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 619 KB

In this paper, we establish the equivalence between the generalized nonlinear variational inequalities and the generalized Wiener-Hopf equations. This equivalence is used to suggest and analyze a number of iterative algorithms for solving generalized variational inequalities. We also discuss the con