摘要
考虑了一类具有转向点的奇摄动二阶线性边值问题。在一阶导数的系数分别具有一个和两个零点,即转向点的情形下,分析可能出现的角层现象,并用匹配渐近展开法导出该问题的零次近似复合展开式。
Some singularly perturbed second order linear boundary value problems with turning points are considered. Corner layer phenomena which may be occurring are analyzed under the case of the coefficient of first derivative with a zero or two zeros, i. e. , turning points. A zero--order approximation composite expansion of the problem is leaded using the method of matched asymptotic expansions.
出处
《合肥师范学院学报》
2012年第3期11-13,17,共4页
Journal of Hefei Normal University
基金
安徽高校省级自然科学基金(KJ2010A153
KJ2010B360)
关键词
奇摄动
边值问题
转向点
角层现象
匹配渐近展开法
singular perturbation
boundary value problems
turning points
corner layer phenomena
the method of matched asymptotic expansions