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Article Navigation >  Applied Mathematics and Mechanics  > 2000  >  21(7): 741-745
Yuan Yiwu, Liu Youwen. Improved L-P Method for Solving Strongly Nonlinear Problems[J]. Applied Mathematics and Mechanics, 2000, 21(7): 741-745.
Citation: Yuan Yiwu, Liu Youwen. Improved L-P Method for Solving Strongly Nonlinear Problems[J]. Applied Mathematics and Mechanics, 2000, 21(7): 741-745.
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Improved L-P Method for Solving Strongly Nonlinear Problems

  • 1.

    Central South University of Technology, Changsha 410083, P R China;

  • 2.

    Hunan University, Changsha 410082, P R China

  • Received Date: 1999-06-01
  • Rev Recd Date: 2000-03-15
  • Publish Date: 2000-07-15
    Abstract
  • Using the improved L-P method,a class of problems of square strongly nonlinear free oscillations and of strongly nonlinear nonoscilations were solved.Their first order approximate solution which has high accuracy is obtained.The method of this paper is different from the known L-P methods.
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    • References(3)
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    张佑啟,陈树辉. 用改进的Lindtstedt-Poincare方法分析保守系统强非线性振动[A]. 见: 黄黔,潘立宙主编,应用数学和力学——钱伟长80诞辰祝寿文集[C]. 北京: 科学出版社,重庆出版社,1993,30～39.
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