Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (1): 69-78.

• 论文 • 上一篇    下一篇

COMPLETELY EXPONENTIALLY FINITE DIFFERENCE METHODS FOR PROBLEMS OF TURNING POINT

陈明1, 王国英2   

  1. 1. Chongqing Jiaotong Institute, Chongqing;
    2. Nanjing University, Nanjing
  • 收稿日期:1988-05-05 出版日期:1990-01-18 发布日期:1990-01-18

COMPLETELY EXPONENTIALLY FINITE DIFFERENCE METHODS FOR PROBLEMS OF TURNING POINT

Chen Ming-lun1, Wang Guo-ying2   

  1. 1. Chongqing Jiaotong Institute, Chongqing;
    2. Nanjing University, Nanjing
  • Received:1988-05-05 Online:1990-01-18 Published:1990-01-18

摘要: In this paper we construct a completely exponentially fitted finite difference scheme for the boundary value problem of differential equation with turning points, extending Miller’s method[1] and simplifying the method of the proof We prove the first order uniform convergence of the scheme. The numerical results show that it is better than Hin’s[2] scheme.

Abstract: In this paper we construct a completely exponentially fitted finite difference scheme for the boundary value problem of differential equation with turning points, extending Miller’s method[1] and simplifying the method of the proof We prove the first order uniform convergence of the scheme. The numerical results show that it is better than Hin’s[2] scheme.

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