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Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (5): 495-504.

• 论文 • 上一篇    下一篇

A UNIFORMLY CONVERGENT DIFFERENCE SCHEME FOR THE SINGULAR PERTURBATION OF A SELF ADJOINT ELLIPTIC PARTIAL DIFFERENTIAL EQUATION

刘发旺1, 郑小苏2   

  1. 1. Fuzhou University, Fuzhou;
    2. Fujian Teachers' University, Fuzhou
  • 收稿日期:1984-01-20 出版日期:1986-05-18 发布日期:1986-05-18

A UNIFORMLY CONVERGENT DIFFERENCE SCHEME FOR THE SINGULAR PERTURBATION OF A SELF ADJOINT ELLIPTIC PARTIAL DIFFERENTIAL EQUATION

Liu Fa-wang1, Zheng Xiao-su2   

  1. 1. Fuzhou University, Fu zhou;
    2. Fujian Teachers' University, Fuzhou
  • Received:1984-01-20 Online:1986-05-18 Published:1986-05-18

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摘要： In this paper, we consider a self adjoint elliptic first boundary vdlue problem with a small parameter affecting the highest derivative.In the paper, we set up a new scheme by the asymptotic analysis method, compare asymptotic behavior between the solution of the difference equation and the solution of the differential equation, and show uniform convergence of the new scheme.

关键词: hybrid dynamic system, switched linear system, time-delay, controllability, controllable set, switching sequence, switching path

Abstract: In this paper, we consider a self adjoint elliptic first boundary vdlue problem with a small parameter affecting the highest derivative.In the paper, we set up a new scheme by the asymptotic analysis method, compare asymptotic behavior between the solution of the difference equation and the solution of the differential equation, and show uniform convergence of the new scheme.

Key words: hybrid dynamic system, switched linear system, time-delay, controllability, controllable set, switching sequence, switching path

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