Combination of modified Lindstedt-Poincare and homotopy perturbation methods

Some strongly nonlinear oscillators have been investigated with the help of combined modified Lindstedt–Poincare and homotopy perturbation methods. The solutions are more accurate than those obtained by the modified Lindstedt–Poincare method. Moreover, the determination of solutions is simpler than...

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Bibliographic Details
Published in:Journal of low frequency noise, vibration, and active control vibration, and active control, 2023-06, Vol.42 (2), p.642-653
Main Authors: Alam, M S, Sharif, Nazmul, Molla, Md Helal Uddin
Format: Article
Language:English
Subjects:
Perturbation methods
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Summary:Some strongly nonlinear oscillators have been investigated with the help of combined modified Lindstedt–Poincare and homotopy perturbation methods. The solutions are more accurate than those obtained by the modified Lindstedt–Poincare method. Moreover, the determination of solutions is simpler than usual homotopy perturbation methods. Some similarities and dissimilarities between the present method and other existing methods have also been discussed.
ISSN:1461-3484
2048-4046
DOI:10.1177/14613484221148049