He's MAX-MIN METHOD FOR THE RELATIVISTIC OSCILLATOR AND HIGH ORDER DUFFING EQUATION

被引：15
作者：
Azami, R.
Ganji, D. D. [1 ]
Babazadeh, H.
Dvavodi, A. G.
Ganji, S. S.
机构：
[1] Babol Univ Technol, Dept Mech Elect & Civil Engn, Babol Sar, Iran
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2009年 / 23卷 / 32期
关键词：
Min-max method; nonlinear oscillation; Duffing equation; harmonic equations; energy balance method (EBM); motion period; HOMOTOPY PERTURBATION METHOD; NONLINEAR EQUATIONS; PERIODIC-SOLUTIONS; KDV EQUATION; SCATTERING;
D O I：
10.1142/S0217979209054351
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
This paper implements He's max-min method to solve accurately strong nonlinear oscillators. Maximal and minimal solution thresholds of a nonlinear problem can be easily found, and an approximate solution of the nonlinear equation can be easily deduced using He Chengtian's interpolation, which has a millennia history. Some typical examples are employed to illustrate its validity, effectiveness, and flexibility.
引用
收藏
页码：5915 / 5927
页数：13
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