| 周期摄动守恒系统的数值解 |
| |
| 引用本文： | 刘国庆,傅冬生,沈祖和. 周期摄动守恒系统的数值解[J]. 应用数学和力学, 2002, 23(2): 207-216 |
| |
| 作者姓名： | 刘国庆 傅冬生 沈祖和 |
| |
| 作者单位： | 1.南京化工大学基础科学部, 南京 210009; |
| |
| 摘 要： | 讨论了周期摄动非线性守恒系统。利用Hadamard定理证明了在适当的条件下连续问题解的存在唯一性。并在均匀网格上对方程作了离散化,给出了相应的离散问题具有唯一解的结果。最后讨论了数值解的精度及有关算法。
|
| 关 键 词： | 非线性系统 解的存在唯一性 数值解 算法 |
| 文章编号： | 1000-0887(2002)02-0207-10 |
| 收稿时间： | 2000-09-29 |
| 修稿时间： | 2000-09-29 |
On Numerical Solutios of Periodically Perturbed Conservative Systems |
| |
| LIU Guo-qing ,FU Dong-sheng ,SHEN Zu-he. On Numerical Solutios of Periodically Perturbed Conservative Systems[J]. Applied Mathematics and Mechanics, 2002, 23(2): 207-216 |
| |
| Authors: | LIU Guo-qing FU Dong-sheng SHEN Zu-he |
| |
| Affiliation: | 1.Department of Basic Science, Nanjing University of Chemical Technology, Nanjing 210009, P R China;2.Department of Mathematics, Nanjing University, Nanjing 210093, P R China |
| |
| Abstract: | A nonlinear perturbed conservative system is discussed. By means of Hadamard's theorem, the existence and uniqueness of the solution of the continuous problem are proved. When the equation is discreted on the uniform meshes, it is proved that the corresponding discrete problem has a unique solution. Finally, the accuracy of the numerical solution is considered and a simple algorithm is provided for solving the nonlinear difference equation. |
| |
| Keywords: | nonlinear system numerical solution uniqueness and existence algorithm |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学》下载全文 |
