摘要
本文研究了两类具有奇性的奇摄动初边值问题,研究结果表明此类问题具有重边界层现象。利用匹配渐近展开法构造出了问题的形式渐近解,同时,用微分不等式理论证明了渐近解的一致有效性。
In this paper, two types of singularly perturbed initial boundary value problems with singularity are studied. The research results show that this type of problem has a double-layer phenomenon. The asymptotic solutions of the equation are constructed by the matched asymptotic expansion method, and the uniform validity of the asymptotic solutions is proved by the differential inequality theory.
出处
《应用数学进展》
2020年第4期467-477,共11页
Advances in Applied Mathematics