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Get Free AccessA good initial guess and an appropriate homotopy equation are two main factors in applications of the homotopy perturbation method. For a nonlinear oscillator, a cosine function is used in an initial guess. This article recommends a general approach to construction of the initial guess and the homotopy equation. Duffing oscillator is adopted as an example to elucidate the effectiveness of the method.
Ji-huan He, Chun‐Hui He, Abdulrahman Ali Alsolami (2023). A GOOD INITIAL GUESS FOR APPROXIMATING NONLINEAR OSCILLATORS BY THE HOMOTOPY PERTURBATION METHOD. Facta Universitatis Series Mechanical Engineering, 21(1), pp. 021-021, DOI: 10.22190/fume230108006h.
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Type
Article
Year
2023
Authors
3
Datasets
0
Total Files
0
Language
English
Journal
Facta Universitatis Series Mechanical Engineering
DOI
10.22190/fume230108006h
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