Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (2): 241-246.

• 论文 • 上一篇    

A SEMI-ANALYSIS METHOD OF DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS UNDER COMPLICATED BOUNDARY CONDITIONS

黎明安1, 王忠民1, 郭志勇2   

  1. 1. Department of Engineering Mechanics, Xi’an University of Technology, Xi’an 710048, P.R.China;
    2. Department of Basic Course, Xi’an Institute of Technology, Xi’an 710054, P.R.China
  • 收稿日期:2002-03-29 修回日期:2002-05-31 出版日期:2003-02-18 发布日期:2003-02-18
  • 通讯作者: LIN Zong-chi

A SEMI-ANALYSIS METHOD OF DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS UNDER COMPLICATED BOUNDARY CONDITIONS

LI Ming-an1, WANG Zhong-min1, GUO Zhi-yong 2   

  1. 1. Department of Engineering Mechanics, Xi’an University of Technology, Xi’an 710048, P.R.China;
    2. Department of Basic Course, Xi’an Institute of Technology, Xi’an 710054, P.R.China
  • Received:2002-03-29 Revised:2002-05-31 Online:2003-02-18 Published:2003-02-18

摘要: Based on a method of finite element model and combined with matrix theory, a method for solving differential equation with variable coefficients is proposed. With the method, it is easy to deal with the differential equations with variable coefficients. On most occasions and due to the nonuniformity nature, nonlinearity property can cause the equations of the kinds. Using the model, the satisfactory valuable results with only a few units can be obtained.

Abstract: Based on a method of finite element model and combined with matrix theory, a method for solving differential equation with variable coefficients is proposed. With the method, it is easy to deal with the differential equations with variable coefficients. On most occasions and due to the nonuniformity nature, nonlinearity property can cause the equations of the kinds. Using the model, the satisfactory valuable results with only a few units can be obtained.

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