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Coupled Method of Homotopy Perturbation Method and Variational Approach for Solution to Nonlinear Cubic-Quintic Duffing Oscillator
| Content Provider | Semantic Scholar |
|---|---|
| Author | Akbarzade, M. Branch, Quchan Ganji, Davoodi Domiri |
| Copyright Year | 2010 |
| Abstract | This paper presents a new approach for solving approximate analytical higher order solutions for strong nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. The system is conservative and with odd nonlinearity. The new approach couples Homotopy Perturbation Method with Variational method. These approximate solutions are valid for small as well as large amplitudes of oscillation. In addition, it is not restricted to the presence of a small parameter such as in the classical perturbation method. Illustrative examples are presented to verify accuracy and explicitness of the approximate solutions. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://m-hikari.com/atam/atam2010/atam5-8-2010/akbarzadeATAM5-8-2010-2.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
