期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2012
卷号：2
期号：3
页码：213-216
DOI：10.4236/ajcm.2012.23027
出版社：Scientific Research Publishing
摘要：In this paper, we presented an initial value approach for solving singularly perturbed two point boundary value problems with the boundary layer at one end (left or right). By employing asymptotic power series expansion, the given singularly perturbed two-point boundary value problem is replaced by two first order initial value problems. To demonstrate the applicability of the present method three linear and two nonlinear problems with left end boundary layer are considered. It is observed that the present method approximates the exact solution very well.
关键词：Singular Perturbation; Initial Value Problems; Asymptotic Power Series Expansions
