Comparison of Energy Balance Period with Exact Period for Arising Nonlinear Oscillator Equations

被引：29

作者：

Ganji, D. D. ^{[1
]}

Malidarreh, N. Ranjbar ^{[1
]}

Akbarzade, M. ^{[1
]}

机构：

[1] Babol Univ Technol, Fac Mech & Civil Engn, Babol Sar, Iran

来源：

ACTA APPLICANDAE MATHEMATICAE | 2009年 / 108卷 / 02期

关键词：

Nonlinear oscillator; Variational principle Hamilton; Energy balance (HEBM); Harmonic balance method; HOMOTOPY-PERTURBATION METHOD; VARIATIONAL ITERATION METHOD; FREQUENCY FORMULATION; EPIDEMIC MODEL; KDV EQUATION; PARAMETER; SYSTEMS;

D O I：

10.1007/s10440-008-9315-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, He's energy balance method is applied to nonlinear oscillators. The new algorithm offers a promising approach by constructing a Hamiltonian for the nonlinear oscillator. We proved that the energy balance is very effective, convenient and does not require any linearization or small perturbation. In contradicts of the conventional methods, He's Energy Balance method (HEBM) using just one iteration, leads us to high accuracy of solutions. Energy Balance method is very effective, convenient and adequately accurate to both linear and nonlinear problems in physics and engineering.

引用

页码：353 / 362

页数：10

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