摘要
考虑了一类奇摄动二阶线性边值问题,在一阶导数的系数具有一个零点,即转向点的情形下,分析了在转向点处可能出现角层现象的条件,然后利用中间变量匹配法构造出在整个区间上的复合展开式的零次近似.
Some singularly perturbed second order linear boundary value problems are considered. Corner layer phenomena which may be occur are analyzed under the case of the coefficient of first derivative with a zero, i. e. , a turning point. A composite expansion that is uniformly valid over the whole interval is constructed and a zero-order approximation solution of the problem is obtained using the immediate variable matching procedure.
出处
《安徽师范大学学报（自然科学版）》
CAS
2017年第3期228-231,共4页
Journal of Anhui Normal University(Natural Science)
基金
国家自然科学基金(11301007)
关键词
奇摄动
边值问题
转向点
角层现象
中间变量匹配法
singular perturbation
boundary value problems
turning points
corner layer phenomena
immediate variable matching procedure
作者简介
作者简介：肖丽（1989）,女,安徽芜湖人,硕士研究生在读,研究方向：应用微分方程.
