| 一类具有两个转向点的奇摄动边值问题 |
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| 引用本文： | 魏小欧,刘树德. 一类具有两个转向点的奇摄动边值问题[J]. 安庆师范学院学报(自然科学版), 2011, 0(4): 4-6 |
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| 作者姓名： | 魏小欧 刘树德 |
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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： | 安徽高校省级自然科学基金(KJ2010A153,KJ2010B360)资助 |
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| 摘 要： | 考虑一类具有两个转向点的奇摄动二阶线性边值问题,在一阶导数的系数具有两个零点,即转向点的情形下,分析了可能出现的层现象,并用匹配渐近展开法导出该问题的零次近似复合展开式。
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| 关 键 词： | 奇摄动 边值问题 转向点 角层 匹配渐近展开法 |
A Class of Singularly Perturbed Boundary Value Problems with Two Turning Points |
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| WEI Xiao-ou,LIU Shu-de. A Class of Singularly Perturbed Boundary Value Problems with Two Turning Points[J]. Journal of Anqing Teachers College(Natural Science Edition), 2011, 0(4): 4-6 |
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| Authors: | WEI Xiao-ou LIU Shu-de |
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| Affiliation: | (College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | A Singularly Perturbed second order linear boundary value problem is considered.Layer phenomena which may be occur are analyzed under the case of the coefficient of first derivative with two zeros,i.e.,turning points.A zero-order approximation composite expansion of the problem is leaded by using the method of matched asymptotic expansions. |
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| Keywords: | singular perturbation boundary value problems turning points corner layers the method of matched asymptotic expansions |
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