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| 等效小参量法求解强非线性系统的有效性研究 | |
| 引用本文： | 宁送云,丘水生. 等效小参量法求解强非线性系统的有效性研究[J]. 中原工学院学报, 2007, 18(4): 39-43 |
| 作者姓名： | 宁送云 丘水生 |
| 作者单位： | 1. 广东药学院,基础学院,广州,510006 2. 华南理工大学,电信学院,广州,510641 |
| 摘 要： | 文章在已有研究的基础上,通过对不同失真度的非线性系统进行求解和比较,得出结论:等效小参量法对于失真度达到30%左右的非线性系统分析是有效的.同经典的扰动法相比较,在非线性较弱时,等效小参量法和扰动法一样能获得精确的结果,但是,在非线性较强时,等效小参量法表现出比较明显的优势. |
| 关 键 词： | 等效小参量法 强非线性 近似解析解 数值分析 扰动法 |
| 文章编号： | 1671-6906（2007）04-0039-05 |
| 收稿时间： | 2007-05-13 |
| 修稿时间： | 2007-05-13 |
Study on Effectiveness of the Equavalent Small Parameters Method for Solving the Strongly Nonlinear Systems |
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| Ning Song-yun,Qiu Shui-sheng. Study on Effectiveness of the Equavalent Small Parameters Method for Solving the Strongly Nonlinear Systems[J]. Journal of Zhongyuan Institute of Technology, 2007, 18(4): 39-43 | |
| Authors: | Ning Song-yun Qiu Shui-sheng |
| Affiliation: | Guangdong Pharmaceutical University,Guangzhou Guangdong 510006; South China University of Technology,Guangzhou 510641,China |
| Abstract: | Of all the symbolic analysis methods for solving strongly nonlinear differential equations,the effectiveness and applicability of the ESP(Equavalent Small Parameters) method is good enough.However,it's application is restricted to the systems whose distortion is less than 20%.Based on the results above,several nonlinear systems with different distortion are studied and compared,the conclusion is that it is suit for analyzing nonlinear systems with distortion up to 30%.Compared with the classic perturbation method,both can obtain accurate results for weakly nonlinear systems,while for strongly nonlinear systems,the ESP method has obvious advantages. |
| Keywords: | equivalent small parameter method strongly nonlinear approximate solution numeric analysis perturbation method |
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