| 一类变系数二阶非线性常微分方程的边界层问题 |
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| 引用本文： | 王莉.一类变系数二阶非线性常微分方程的边界层问题[J].运城学院学报,2014(5):19-22. |
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| 作者姓名： | 王莉 |
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| 作者单位： | 中北大学理学院 数学系,太原,030051 |
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| 摘 要： | 主要研究了一类变系数二阶非线性常微分方程的边界层问题。先确定边界层的位置,然后用匹配渐近展开法来求得该问题的一阶近似解。
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| 关 键 词： | 渐近展开 匹配 边值问题 变系数 非线性问题 边界层 |
The Boundary Layers Problem for a Class of Second-order Nonlinear Ordinary Differential Equations With Variable Coefficients |
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| WANG Li.The Boundary Layers Problem for a Class of Second-order Nonlinear Ordinary Differential Equations With Variable Coefficients[J].JOURNAL OF YUNCHENG UNIVERSITY,2014(5):19-22. |
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| Authors: | WANG Li |
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| Institution: | WANG Li ( Department of Mathematics of School of Science , North University of China, Taiyuan 030051, China) |
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| Abstract: | In this paper,the boundary layer problems for a class of second-order nonlinear ordinary differential equations with variable coefficients are investigated.The position of boundary layer is determined and the first-order approximate solution is given by using the matched asymptotic expansions. |
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| Keywords: | Asymptotic expansion Matching Boundary value problem Variable coefficient Nonlinear problem Boundary layer |
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