Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method
文献类型：期刊论文
| 作者 | Yan, ZY
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2005-09-15 |
| 卷号 | 168期号:2页码:1065-1078 |
| 关键词 | KdV equation the decomposition method numerical solution doubly periodic solution error analysis |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2004.10.003 |
| 英文摘要 | In this paper, a scheme is extended to study numerical doubly periodic solutions of the Kortweg-de Vries (KdV) equation with initial conditions using the Adomian decomposition method. As a result, we obtain the numerical doubly periodic solutions of the KdV equation with initial conditions. The numerical doubly periodic solution is compared with the exact doubly periodic solution. Moreover we analyze the absolute-error and relative error between them, and also give the contour and density plots of the numerical doubly periodic solutions with two different moduli: m=1/5, 7/8. (c) 2004 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000232760000028 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1056]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, ZY |
| 作者单位 | Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, ZY. Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,168(2):1065-1078. |
| APA | Yan, ZY.(2005).Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method.APPLIED MATHEMATICS AND COMPUTATION,168(2),1065-1078. |
| MLA | Yan, ZY."Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method".APPLIED MATHEMATICS AND COMPUTATION 168.2(2005):1065-1078. |
入库方式： OAI收割
来源：数学与系统科学研究院
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