| 强非线性高阶微分方程计算机符号分析法研究 |
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| 引用本文： | 李献礼,宁送云,丘水生,陈艳峰. 强非线性高阶微分方程计算机符号分析法研究[J]. 广西师范大学学报(自然科学版), 2005, 23(1): 141-144 |
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| 作者姓名： | 李献礼 宁送云 丘水生 陈艳峰 |
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| 作者单位： | 重庆涪陵师范学院,四川,重庆,408003;华南理工大学,广东,广州,510641 |
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| 基金项目： | 国家自然科学基金资助项目(60372004)，重庆市优秀中青年骨干教师资助计划项目 |
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| 摘 要： | 依据等效小参量法的原理，使用Matlab语言编程，用符号迭代法求解出几种典型强非线性高阶系统方程的近似解，并用数值分析验证其结果的可靠性和逼近实际系统的准确程度．所采用的分析方法和所得结果对高阶非线性系统方程近似解析法的推广应用具有重要意义．
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| 关 键 词： | 等效小参量法 强非线性 符号迭代 近似解析解 数值分析 |
| 文章编号： | 1001-6600(2005)01-0141-04 |
STUDY ON COMPUTER SYMBOLIC ANALYSIS FOR SOLVING THE STRONGLY NONLINEAR HIGH-ORDER DIFFERENTIAL EQUATIONS |
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| LI Xian-li,NING Song-yun,QIU Shui-sheng,Chen Yan-feng. STUDY ON COMPUTER SYMBOLIC ANALYSIS FOR SOLVING THE STRONGLY NONLINEAR HIGH-ORDER DIFFERENTIAL EQUATIONS[J]. Journal of Guangxi Normal University(Natural Science Edition), 2005, 23(1): 141-144 |
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| Authors: | LI Xian-li NING Song-yun QIU Shui-sheng Chen Yan-feng |
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| Affiliation: | LI Xian-li~1,NING Song-yun~2,QIU Shui-sheng~2,CHEN Yan-feng~2 |
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| Abstract: | A symbolic analytic method based on the principle of equivalent small parameter method is used for calculating the approximate solution with Matlab program and numerical calculation is applied to prove the validity of the approximate solution.The analytic method and final results of this study have significant meaning for the application of the approximation analytical method. |
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| Keywords: | equivalent small parameter method strong nonlinear symbolic analysis approximate solution numeric analysis |
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