Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (4): 353-359.

• 论文 • 上一篇    下一篇

A CLASS OF VARIATIONAL DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM

林平   

  1. Nanjing University, Nanjing
  • 收稿日期:1987-12-14 出版日期:1989-04-18 发布日期:1989-04-18

A CLASS OF VARIATIONAL DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM

Lin Ping   

  1. Nanjing University, Nanjing
  • Received:1987-12-14 Online:1989-04-18 Published:1989-04-18

摘要: In this paper, a singularly perturbed boundary value problem for second order self-adjoint ordinary differential equation is discussed.A class of variational difference schemes is constructed by the finite element method.Uniform convergence about small parameter is proved under a weaker smooth condition with respect to the coefficients of the equation.The schemes studied in refs.[1], [3], [4] and [5] belong to the cllass.

Abstract: In this paper, a singularly perturbed boundary value problem for second order self-adjoint ordinary differential equation is discussed.A class of variational difference schemes is constructed by the finite element method.Uniform convergence about small parameter is proved under a weaker smooth condition with respect to the coefficients of the equation.The schemes studied in refs.[1], [3], [4] and [5] belong to the cllass.

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals