Modified variational iteration method for analytical solutions of nonlinear oscillators

被引：7

作者：

He, Wei ^{[1
]}

Kong, Hua ^{[2
]}

Qin, Yan-Mei ^{[2
]}

机构：

[1] Nantong Vocat Coll Sci & Technol, Dept Qual Educ, Nantong, Peoples R China

[2] Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang 641100, Peoples R China

来源：

JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL | 2019年 / 38卷 / 3-4期

关键词：

Nonlinear oscillator; variational iteration method; integral equations; Adomian polynomials; EQUATION;

D O I：

10.1177/1461348418784817

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The second-order nonlinear oscillators have rich dynamics. We proposed a novel analytical method based on both variational iteration method and Adomian method. The variational iteration method is used to establish an equivalent integral system. So then Adomian polynomials are adopted to linearize the strong nonlinear terms in nonlinear oscillators and analytical solutions are obtained successively.

引用

页码：1178 / 1183

页数：6

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