| 强非线性问题的改进的L-P解法 |
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| 引用本文： | 袁镒吾,刘又文. 强非线性问题的改进的L-P解法[J]. 应用数学和力学, 2000, 21(7): 741-745 |
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| 作者姓名： | 袁镒吾 刘又文 |
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| 作者单位： | 1.中南工业大学, 长沙410083; |
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| 摘 要： | 用改进的L-P法求解了一类平方强非线性自由振动问题和一类非振动型的强非线性问题,得到了精度很好的一级近似解,方法与通用的改进的L-P法稍有不同。
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| 关 键 词： | 改进的L-P法 强非线性 振动 微分方程 |
| 收稿时间： | 1999-06-01 |
| 修稿时间： | 1999-06-01 |
Improved L-P Method for Solving Strongly Nonlinear Problems |
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| 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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| Authors: | Yuan Yiwu Liu Youwen |
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| Affiliation: | 1.Central South University of Technology, Changsha 410083, P R China;2.Hunan University, Changsha 410082, P R China |
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| 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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| Keywords: | improved L_P method strong nonlinearity oscillation differential equation |
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