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Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly

National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, Suzhou, P. R. China

School of Mathematical Sciences, Soochow University, Suzhou, P. R. China

Department of Mathematics, Government College University, Faisalabad, Pakistan

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and

Ji-Huan He

National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, Suzhou, P. R. China

School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China

School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China

E-mail Address: hejihuan@suda.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0217979220503130Cited by:46 (Source: Crossref)

Abstract

A modification of the homotopy perturbation method is proposed by taking advantage of the enhanced perturbation method and the parameter expanding technology. A generalized oscillatory equation and some nonlinear oscillators as the special cases of this equation are considered as examples to outline the basic properties of the modification, and the result is of high accuracy.

Keywords:

PACS: 02.30.Hq, 02.30.Mv, 02.70-c, 45.20.D-, 52.35-g

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