| 一类具有两个边界层现象的奇摄动边值问题 |
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| 引用本文： | 叶珊珊,陈怀军. 一类具有两个边界层现象的奇摄动边值问题[J]. 安徽工程科技学院学报：自然科学版, 2014, 0(1): 85-87 |
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| 作者姓名： | 叶珊珊 陈怀军 |
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| 作者单位： | 安徽师范大学数学计算机科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(11301007) |
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| 摘 要： | 考虑了一类具有两个边界层现象的奇摄动边值问题．先分析在区间两端可能出现边界层现象的条件，然后利用匹配渐近展开法构造出在整个区间上一致有效的复合展开式，从而得到该问题具有两个边界层性质的零次近似解．
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| 关 键 词： | 奇摄动 边值问题 边界层 匹配渐近展开法 近似解 |
Some singularly perturbed with two boundary boundary value problems layer phenomena |
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| YE Shan-shan,CHEN Huai-jun. Some singularly perturbed with two boundary boundary value problems layer phenomena[J]. Journal of Anhui University of Technology and Science, 2014, 0(1): 85-87 |
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| Authors: | YE Shan-shan CHEN Huai-jun |
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| Affiliation: | (Coll. of Math. Comp. Sci. ,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | Some singularly perturbed second order semi linear boundary value problems with two bounda- ry layer phenomena are studied. Boundary layer phenomena be occurred at two endpoints are analyzed. A composite expansion that is uniformly valid over the whole interval is constructed and a zero-order ap- proximation solution of the problem is obtained by using the method of matched asymptotic expansions. |
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| Keywords: | singular perturbation boundary value problems boundary layer the method of matched as-ymptotic expansions approximation solution |
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