Numerical Comparisons of Two Lindstedt-Poincare-type Perturbation Methods for the Duffing Equation

Jianping Cai

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Numerical Comparisons of Two Lindstedt-Poincare-type Perturbation Methods for the Duffing Equation

机译：Duffing方程的两种Lindstedt-Poincare型摄动方法的数值比较

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A technique of numerical order verification is applied to demonstrate that the asymptotic expansions of the solutions of the Duffing equation obtained respectively by two Lindstedt-Poincare-type perturbation methods are uniformly valid for small parameter. Numerical comparisons of errors of the two methods show that one perturbation method is valid but the other is invalid for large parameter.

机译：应用数值顺序验证技术证明了分别用两种Lindstedt-Poincare型摄动方法获得的Duffing方程解的渐近展开对于小参数一致有效。两种方法误差的数值比较表明，一种摄动方法有效，而另一种对于大参数无效。

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《International journal of nonlinear sciences and numerical simulation》 |2009年第7期|共5页
作者
Jianping Cai;
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原文格式 PDF
正文语种 eng
中图分类数值分析;
关键词
Nonlinear oscillation; Perturbation method; Numerical verification; Duffing equation; Lindstedt-Poincare method;

机译：非线性振荡;摄动法;数值验证;达芬方程;林德斯特-庞加莱法;

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1. Numerical Comparisons of Two Lindstedt-Poincare-type Perturbation Methods for the Duffing Equation [J] . Jianping Cai International journal of nonlinear sciences and numerical simulation . 2009,第7期

机译：Duffing方程的两种Lindstedt-Poincare型摄动方法的数值比较
2. Numerical solutions of time-fractional Burgers equations A comparison between generalized differential transformation technique and homotopy perturbation method [J] . Najeeb Alam Khan, Asmat Ara, Amir Mahmood International journal of numerical methods for heat & fluid flow . 2012,第2期

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Numerical Comparisons of Two Lindstedt-Poincare-type Perturbation Methods for the Duffing Equation

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