𝔖 Bobbio Scriptorium
✦   LIBER   ✦

He’s variational approach for nonlinear oscillators with high nonlinearity

✍ Scribed by Jun-Fang Liu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
765 KB
Volume
58
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, He's variational approach is applied to the strongly nonlinear oscillators with high nonlinearity. Some examples are given to illustrate the effectiveness and convenience of this method. Comparison with the exact solutions is also made, revealing that the present method leads to accurate solutions.

📜 SIMILAR VOLUMES

Variational approach for nonlinear oscil
Variational approach for nonlinear oscillators with discontinuities
✍ Da-Hua Shou 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 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.

Periodic solutions for some strongly non
Periodic solutions for some strongly nonlinear oscillations by He’s variational iteration method
✍ Vasile Marinca; Nicolae Herisanu 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 318 KB

In this paper, we implement a new analytical technique, He's variational iteration method, for some strongly nonlinear oscillations. A correction functional is constructed by using a general Lagrange multiplier, which can be identified via the variational theory. The obtained approximate solutions a

The variational iteration method for non
The variational iteration method for nonlinear oscillators with discontinuities
✍ M. Rafei; D.D. Ganji; H. Daniali; H. Pashaei 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 144 KB

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

A remark on He’s variational iteration t
A remark on He’s variational iteration technique for solving nonlinear equations
✍ M.S. Petković 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 266 KB

The variational iteration method (VIM) can be usefully applied for solving many linear and nonlinear scientific and engineering problems. In this note we show that He's approach for solving nonlinear equations, arising from the VIM, is, actually, Schröder's method presented in his classical work fro