Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (11): 1055-1065.

• 论文 • 上一篇    下一篇

NUMERICAL SOLUTION OF NONLINEAR ORDINARY DIFFERENTIAL EQUATION FOR A TURNING POINT PROBLEM

林鹏程, 白清源   

  1. Fuzhou University, Fuzhou
  • 收稿日期:1989-11-13 出版日期:1990-11-18 发布日期:1990-11-18
  • 基金资助:
    The Project Supported by the National Natural Science Foundation of China

NUMERICAL SOLUTION OF NONLINEAR ORDINARY DIFFERENTIAL EQUATION FOR A TURNING POINT PROBLEM

Lin Peng-cheng, Bai Qing-yuan   

  1. Fuzhou University, Fuzhou
  • Received:1989-11-13 Online:1990-11-18 Published:1990-11-18
  • Supported by:
    The Project Supported by the National Natural Science Foundation of China

摘要: By using the method in [3], several useful estimations of the derivatives of the solution of the boundary value problem for a nonlinear ordinary differential equation with a turning point are obtained.With the help of the technique in [4], the uniform convergence on the small parameter e for a difference scheme is proved.At the end of this paper, a numerical example is given.The numerical result coincides with theoretical analysis.

关键词: nonlinear ordinary differential equation, turning point, singular perturbation problem, difference scheme, uniform convergence

Abstract: By using the method in [3], several useful estimations of the derivatives of the solution of the boundary value problem for a nonlinear ordinary differential equation with a turning point are obtained.With the help of the technique in [4], the uniform convergence on the small parameter e for a difference scheme is proved.At the end of this paper, a numerical example is given.The numerical result coincides with theoretical analysis.

Key words: nonlinear ordinary differential equation, turning point, singular perturbation problem, difference scheme, uniform convergence

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