| 一类具有两个边界层的非线性奇摄动问题 |
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| 引用本文： | 郑应灯,欧阳成. 一类具有两个边界层的非线性奇摄动问题[J]. 安徽工程科技学院学报：自然科学版, 2011, 26(1) |
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| 作者姓名： | 郑应灯 欧阳成 |
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| 作者单位： | 湖州师范学院数学系,浙江,湖州,313000 |
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| 基金项目： | 国家特色专业，浙江省新世纪教改基金资助项目，湖州师范学院重点教改基金资助项目，浙江省校级精品课程基金资助项目 |
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| 摘 要： | 利用匹配渐近展开法,研究了一类具有两个边界层的三阶非线性奇摄动边值问题.首先通过直接展开法,得到了问题解的外展开式,然后引用伸长变量分别构造了左右边界层附近的内展开式.最后根据匹配原则,给出了问题解的渐近展开式.
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| 关 键 词： | 非线性 边界层 匹配 渐近展开式 |
Class of wonlinear singnlarly perturbed problems with two layers |
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| ZHENG Ying-deng,OU Yang-cheng. Class of wonlinear singnlarly perturbed problems with two layers[J]. Journal of Anhui University of Technology and Science, 2011, 26(1) |
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| Authors: | ZHENG Ying-deng OU Yang-cheng |
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| Affiliation: | ZHENG Ying-deng,OU Yang-cheng(Dept.of Math.,Huzhou Teachers college,Huzhou 313000,China) |
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| Abstract: | Using the matching asymptotic expansion method,a class of third-order nonlinear singularly perturbed varied coefficient boundary value problems with two boundary layers are studied.First,using the direct expansion method,the outer expansion of the solution is obtained,and then introducing the stretched variables,the interior expansions of the solution near the left and right boundary layers are constructed.Finally,according to the matching rules,the asymptotic expansion of the solution is obtained. |
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| Keywords: | nonlinear boundary layer matching asymptotic expansion |
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