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Modified Homotopy Perturbation Method for Certain Strongly Nonlinear Oscillators |
| NIU Yao-Bin**, WANG Zhong-Wei, DONG Si-Wei |
| College of Aerospace and Materials Engineering, National University of Defense Technology, Changsha 410073 |
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| Cite this article: |
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NIU Yao-Bin, WANG Zhong-Wei, DONG Si-Wei 2012 Chin. Phys. Lett. 29 060502 |
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Abstract A new modified homotopy perturbation method is presented for strongly non-linear oscillation by coupling the homotopy perturbation method and the modified Lindstedt–Poincaré method. The advantage of this method is that it does not need a small parameter in the physical system as in He's homotopy perturbation method, and the accuracy is greatly improved. Some examples are tested, and the obtained results show that the current method is very effective and convenient for solving strongly nonlinear oscillators.
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| Keywords:
05.45.-a
03.65.Ge
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Received: 07 November 2011
Published: 31 May 2012
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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03.65.Ge
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(Solutions of wave equations: bound states)
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