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

共 50 条

[21] Modified variational iteration method (nonlinear homogeneous initial value problem)
Abassy, Tamer A.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (02) : 912 - 918
[22] A NEWLY MODIFIED VARIATIONAL ITERATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS
Molliq, R. Yulita
Noorani, M. S. M.
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2013, 10 (05)
[23] Dual solutions for nonlinear boundary value problems by the variational iteration method
Wazwaz, Abdul-Majid
[J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2017, 27 (01) : 210 - 220
[24] Solutions of nonlinear oscillator differential equations using the variational iteration method
Noiey, A. R.
Ganji, D. D.
Naghipour, M.
Barari, A.
[J]. ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4, 2008, 96
[25] Numerical solutions of nonlinear evolution equations using variational iteration method
Soliman, A. A.
Abdou, M. A.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) : 111 - 120
[26] Periodic Solutions for Nonlinear Oscillations of Nanowires using Variational Iteration Method
Askari, H.
Zhang, D.
Esmailzadeh, E.
[J]. 2013 13TH IEEE CONFERENCE ON NANOTECHNOLOGY (IEEE-NANO), 2013, : 566 - 569
[27] Construction of solitary solutions for nonlinear dispersive equations by variational iteration method
Odibat, Zaid M.
[J]. PHYSICS LETTERS A, 2008, 372 (22) : 4045 - 4052
[28] VARIATIONAL ITERATION METHOD FOR CONSERVATIVE OSCILLATORS WITH COMPLICATED NONLINEARITIES
Chen, Y. M.
Meng, G.
Liu, J. K.
[J]. MATHEMATICAL & COMPUTATIONAL APPLICATIONS, 2010, 15 (05): : 802 - 809
[29] Application of Modified He's Variational Method to Nonlinear Oscillators with Discontinuities
Demirbag, S. Altay
Kaya, M. O.
Zengin, F. Oezen
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (01) : 27 - 31
[30] Toward a modified variational iteration method
Abassy, Tamer A.
El-Tawil, Magdy A.
El Zoheiry, H.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) : 137 - 147

← 1 2 3 4 5 →