计算物理 ›› 1991, Vol. 8 ›› Issue (2): 189-195.

• 论文 • 上一篇    下一篇

一类特殊奇异边值问题的数值处理

龙永兴, 丁宁, 邱孝明   

  1. 核工业西南物理研究院, 成都 610041
  • 收稿日期:1990-09-27 修回日期:1991-03-28 出版日期:1991-06-25 发布日期:1991-06-25

NUMERICAL CALCULATIONS OF A KIND OF SPECIFIC SINGULAR BOUNDARY VALUE PROBLEMS

Long Yongxing, Ding Ning, Qiu Xiaoming   

  1. Southwestern Institute of Physics, Changdu
  • Received:1990-09-27 Revised:1991-03-28 Online:1991-06-25 Published:1991-06-25

摘要: 本文利用差分方法有效地处理了一类在原点具有二阶奇异和在共振层存在非本性奇点的奇异边值问题。验证了文献[1]的结果,处理方法更简便、直观、节省计算时间。

关键词: 奇异边值问题, 非本性奇点, 差分方法

Abstract: A kind of singular boundary value problems for second order systems with a singularity at the origin and a non-normal singularity at the resonance layer are solved by means of the three-point difference method. Comparing with the method proposed by Ross et al.,[1] the present method is not only computationally simpler and more distinct but also can save much computer time. Our numerical results are in agreement with those given in Ref. 1.

Key words: singular boundary value problems, non-normal singularity, difference method