The barycentric interpolation collocation method for a class of nonlinear vibration systems

• Published in: Journal of low frequency noise, vibration, and active control Vol. 38; no. 3-4; pp. 1495 - 1504
• Main Authors: Wu, Hongchun, Wang, Yulan, Zhang, Wei, Wen, Tao
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.12.2019; Sage Publications Ltd; SAGE Publishing
• Subjects: Collocation methods; Duffing equation; Interpolation; Iterative methods; Nonlinear systems; Oscillators; Perturbation methods; Vibration; numerical solution; direct linearized iterative; vibration system; barycentric interpolation collocation method; Duffing equation

A nonlinear vibration system arises in physics. Besides its mathematical model, it is of great importance to have an accurate and reliable solution to the system. Though there are many analytical methods, such as the variational iteration method and the homotopy perturbation method, numerical approa...