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| 求微分方程近似周期解的一种迭代方法 | |
| 引用本文： | 吴东旭,张丽,王彩玲,徐旭.求微分方程近似周期解的一种迭代方法[J].吉林大学学报(理学版),2010,48(1):50-51. |
| 作者姓名： | 吴东旭 张丽 王彩玲 徐旭 |
| 作者单位： | 1. 吉林大学,数学研究所,长春,130012 2. 空军航空大学,基础部,长春,130022 3. 吉林大学,数学学院,长春,130012 |
| 基金项目： | 国家自然科学基金(批准号:10501017) |
| 摘 要： | 给出一种求解非线性常微分方程近似周期解的新迭代方法.该方法使迭代公式更简洁、明了,迭代速度快,更适于应用. |
| 关 键 词： | 迭代方法 近似周期解 常微分方程 |
| 收稿时间： | 2009-12-24 |
A New Kind of Iteration Method for Finding Approximate Periodic Solutions to Ordinary Differential Equations |
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| WU Dong-xu,ZHANG Li,WANG Cai-ling,XU Xu.A New Kind of Iteration Method for Finding Approximate Periodic Solutions to Ordinary Differential Equations[J].Journal of Jilin University: Sci Ed,2010,48(1):50-51. | |
| Authors: | WU Dong-xu ZHANG Li WANG Cai-ling XU Xu |
| Institution: | 1.Institute of Mathematics;Jilin University;Changchun 130012;China;2.Department of Foundation;Aviation University of Air Force;Changchun 130022;3.College of Mathematics;China |
| Abstract: | A new kind of iteration technique for solving nonlinear ordinary differential equations is described and used to find approximate periodic solutions for some well-known nonlinear problems.The most interesting features of the proposed method are its extreme simplicity and concise forms of iteration formula for a wide range of nonlinear problems. |
| Keywords: | iteration method approximate periodic solution ordinary differential equations |
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