以二阶线性常微分方程的边值问题为例，系统讨论匹配渐近展开法、多尺度方法及合成展开法在奇摄动边值问题中的应用，并将用这三种方法求得的结果作对比，分析得出相关结论。%Taking the boundary value problems of a second order linear ordinary differential equation for example, this paper fully discusses the application of the methods of matched asymptotic expansions, multiple scales and composite expansions to the singularly perturbed boundary value problems, and then it compares and analyzes the consequences by using the three methods to get the relevant conclusions.
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