Uniform Difference Scheme on the Singularly Perturbed System

• 作者: Ilhame G. Amiraliyeva
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: SINGULAR PERTURBATION Linear System DIFFERENCE Scheme UNIFORM CONVERGENCE
• 年，卷（期）: 2012,（9）
• 页码范围: 1029-1035
• 页数: 7页
• 分类号: O1

摘要

This paper is concerned with the numerical solution for singular perturbation system of two coupled second ordinary differential equations with initial and boundary conditions, respectively. Fitted finite difference scheme on a uniform mesh, whose solution converges pointwise independently of the singular perturbation parameter is constructed and analyzed.