Analytical accurate solutions of nonlinear oscillator systems via coupled homotopy-variational approach

Analytical accurate solutions of nonlinear oscillator systems via coupled homotopy-variational approach

In this paper, the coupled homotopy-variational approach (CHVA) based on combining homotopy with the variational approach is applied to solve the nonlinear Duffing equation, and new frequency- amplitude relationships are obtained. The coupled method works very well for the entire range of initial am...

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Bibliographic Details
Main Authors: G.M. Ismail, M. Abul-Ez, M. Zayed, N.M. Farea
Format: Article
Language:English
Published: Elsevier 2022-07-01
Series:Alexandria Engineering Journal
Subjects:
Nonlinear vibration
Approximate solutions
Homotopy perturbation method
Variational iteration method
Nonlinear stiffnesses
Duffing equation
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016821006220

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http://www.sciencedirect.com/science/article/pii/S1110016821006220

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