## Abstract In this paper, we use variational iteration method for strongly nonlinear oscillators. This method is a combination of the traditional variational iteration and variational method. Some examples are given to illustrate the effectiveness and convenience of the method. The obtained result
Periodic solutions for some strongly nonlinear oscillations by He’s variational iteration method
✍ Scribed by Vasile Marinca; Nicolae Herisanu
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 318 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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 and periods are compared with exact or numerical results to verify the effectiveness and accuracy of the method.
📜 SIMILAR VOLUMES
We implemented a variational method for approximating the solution to the nonlinear dispersive K (m, p, 1)-type equations. By using this scheme, the explicit exact solution is calculated in the form of a quickly convergent series with easily computable components. To illustrate the application of th