Numerical Solution of Singularly Perturbed Two-Point Boundary Value Problem via Liouville-Green Transform

• 作者: Hradyesh Kumar Mishra Sonali Saini
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Singular Perturbation Ordinary Differential Equation BOUNDARY Layer TWO-POINT BOUNDARY Value Problem Liouville-Green TRANSFORM
• 年，卷（期）: mgjssxqkyw_2013,（1）
• 页码范围: 1-5
• 页数: 5页
• 分类号: O1

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.