数学物理学报 ›› 1999, Vol. 19 ›› Issue (1): 39-44.

• 论文 • 上一篇    下一篇

解非线性椭圆型方程奇异摄动问题的一致收敛差分格式

  

  1.  (南京大学数学系 |南京 210093)

     

  • 出版日期:1999-02-01 发布日期:1999-02-01

A Uniformly Convergent Difference Scheme for the Singular perturbation Problem of a Nonlinesr Elliptic Equation

  1. (Nanjing University, Nanjing 210093)

  • Online:1999-02-01 Published:1999-02-01

摘要:

给出了求解非线性椭圆型偏微分方程奇异摄动问题的广义OCI差分格式. 证明了这种格式的解关于摄动参数一致收敛于连续问题的解. 给出了数值例子.

关键词: OCI格式, 奇异摄动问题, 非线性椭圆型方程, 一致收敛.

Abstract:

In this paper, a generalized OCI difference scheme for solving the singular perturbation problem of nonlinear elliptic equation is presented. It is shown that the solution of the scheme converges uniformly in perturbation parameter, to that of continuons problem. A numerical example is given.

Key words: OCIscheme, Singularperturbationproblem, Nonlinearellipticequation, Uniformconvergence.

中图分类号: 

  • 65N