求解一类高阶奇摄动线性边值问题  

Solving a Class of High-Order Singularly Perturbed Linear Value Problems

作　　者：卫丽娟[1] 

机构地区：[1]中北大学理学院,山西太原030051

出　　处：《太原师范学院学报（自然科学版）》2011年第3期36-40,共5页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：文章研究了一类高阶奇异摄动线性系统的近似解,通过降阶将高阶奇异摄动系统转化成一般的低阶变系数奇异摄动系统,再根据不同的边界层引入伸长变量构造渐近解,并对其进行分析,得出了相应的结果.We discuss the approximate solution of a class of high-order singularly perturbed linear value Problems.First,we translate the high-order singular perturbed systems into general low-order variable coefficient singularly pertubed systems through the reduced order,Then according to the different boundary layer introducing a stretched variable and structuring asymptotic solution,carry on the analysis and obtain the correspondingresult.Finally,we give some examples to validate the correctness of the result.

关 键 词：高阶奇异摄动 系统降阶 边界层 渐近展开式 

分 类 号：O175.14[理学—数学]