A comparative study on a singular perturbation problem with two singular boundary points

摘要

A singularly perturbed second-order differential equation with two singular boundary points will be investigated. The work will present a comparative study between the WKB-boundary layer analysis and the uniform approximations about the singular points. The exponential precision asymptotics are essential for this study. The matching concept will be applied in each type of analysis where dominant and recessive terms are matched independently.