A novel method for a class of parameterized singularly perturbed boundary value problems

✍ Scribed by Feng Xie; Jian Wang; Weijiang Zhang; Ming He

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 187 KB
• Volume: 213
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2007.01.014

✦ Synopsis

In this paper a novel approach is presented for solving parameterized singularly perturbed two-point boundary value problems with a boundary layer. By the boundary layer correction technique, the original problem is converted into two non-singularly perturbed problems which can be solved using traditional numerical methods, such as Runge-Kutta methods. Several non-linear problems are solved to demonstrate the applicability of the method. Numerical experiments indicate the high accuracy and the efficiency of the new method.