文章基本信息

标题：Numerical Solution of Singularly Perturbed Two-Point Boundary Value Problem via Liouville-Green Transform
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作者：Hradyesh Kumar Mishra ; Sonali Saini
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：2013
卷号：3
期号：1
页码：1-5
DOI：10.4236/ajcm.2013.31001
出版社：Scientific Research Publishing
摘要：In this paper, authors describe a Liouville-Green transform to solve a singularly perturbed two-point boundary value problem with right end boundary layer in the interval [0, 1]. They reply Liouville-Green transform into original given problem and finds the numerical solution. Then they implemented this method on two linear examples with right end boundary layer which nicely approximate the exact solution.
关键词：Singular Perturbation; Ordinary Differential Equation; Boundary Layer; Two-Point Boundary Value Problem; Liouville-Green Transform