| 变系数二阶常微分方程的边界层型问题的插值摄动解法 |
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| 引用本文： | 袁镒吾,李永纯,徐积江.变系数二阶常微分方程的边界层型问题的插值摄动解法[J].重庆交通大学学报(自然科学版),2000,19(2):108-111. |
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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,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]求得了变系数二阶常微分方程的边界层型问题的一级近似解．由于该方法能公式化（如式（10）），故其计算过程显得十分简便．其精度甚至比多尺度法的还稍高一些.
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| 关 键 词： | 变系数 微分方程 边界层 插值 摄动法 |
Interpolation perturbation method for solving boundary layer type problems of second order ordinary differential eguations with variable coefficients |
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| YUAN Yiwu,LI Yong-chun,XU Ji-jiang.Interpolation perturbation method for solving boundary layer type problems of second order ordinary differential eguations with variable coefficients[J].Journal of Chongqing Jiaotong University,2000,19(2):108-111. |
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| Authors: | YUAN Yiwu LI Yong-chun XU Ji-jiang |
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| Abstract: | In this paper, by using the interpolation perturbation method, the authors obtain the first order approximate solutions of the boundary layer type problems of the second order ordinary differential equations with variable coefficients. Since the method of this paper may be formularized (See Eq. (10)), the calculating process of this paper is quite simple and its accuracy its accuracy is even higher than that of the multiple scales method. |
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| Keywords: | variable coefficient differential equation boundary layer interpolation perturbation method |
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