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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (7): 819-824.

• 论文 • 上一篇    下一篇

IMPROVED L-P METHOD FOR SOLVING STRONGLY NONLINEAR PROBLEMS

袁镒吾1, 刘又文2   

  1. 1. Central South University of Technology, Changsha 410083, P. R. China;
    2. Hunan University, Changsha 410082, P. R. China
  • 收稿日期:1999-01-06 修回日期:2000-03-15 出版日期:2000-07-18 发布日期:2000-07-18

IMPROVED L-P METHOD FOR SOLVING STRONGLY NONLINEAR PROBLEMS

Yuan Yiwu1, Liu Youwen 2   

  1. 1. Central South University of Technology, Changsha 410083, P. R. China;
    2. Hunan University, Changsha 410082, P. R. China
  • Received:1999-01-06 Revised:2000-03-15 Online:2000-07-18 Published:2000-07-18

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摘要： Using the improved L-P method, the authors seek to solve a class of problems of square strongly nonlinear free oscillations and of strongly nonlinear nonoscillations. Their first-order approximate solutions which has high accuracy are obtained. The method of this paper is different from the known L-P methods.

关键词: improved L-P method, strong nonlinearity, oscillation, differential equation

Abstract: Using the improved L-P method, the authors seek to solve a class of problems of square strongly nonlinear free oscillations and of strongly nonlinear nonoscillations. Their first-order approximate solutions which has high accuracy are obtained. The method of this paper is different from the known L-P methods.

Key words: improved L-P method, strong nonlinearity, oscillation, differential equation

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