| 一类弱非线性常微分方程的插值摄动解法 |
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| 引用本文： | 袁镒吾,李永纯,徐积江.一类弱非线性常微分方程的插值摄动解法[J].重庆交通大学学报(自然科学版),1999,18(3):2. |
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| 作者姓名： | 袁镒吾 李永纯 徐积江 |
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| 作者单位： | 1. 中南工业大学,湖南长沙,410083
2. 江西省赣州公路分局,江西赣州,341000 |
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| 摘 要： | 用插值摄动法［１］ 研究一类弱非线性常微分方程的初值问题， 得到了一级及二级近似解． 解的精度很高， 并逐级提高． 如果用正则摄动法求解此类问题， 则当自变量较大时， 误差很大．
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| 关 键 词： | 插值摄动法 正则摄动法 高阶近似 |
| 文章编号： | 1001-716(1999)03-0110-05 |
| 修稿时间： | :1998-12-0 |
The Interpolation Perturbation Method for Solving A Class of Weakly Nonlinear Differential Equations |
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| YUAN Yi-wu,LI Yong-chun,XU Ji-jiang.The Interpolation Perturbation Method for Solving A Class of Weakly Nonlinear Differential Equations[J].Journal of Chongqing Jiaotong University,1999,18(3):2. |
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| Authors: | YUAN Yi-wu LI Yong-chun XU Ji-jiang |
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| Abstract: | In this paper,the authors study the initial value problems of a class of weakly nonlinear differential equation.The first and the second order approximate solutions are obtained.Their accuracies are high and the more the approximate order is high,the more the accuracy is high.If the regular perturbation method is used to solve the same problems,then,when the independent variable is big,so is the error of the solution. |
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| Keywords: | interpolation perturbation method regular perturbation method high approximate order |
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