J4 ›› 2011, Vol. 49 ›› Issue (01): 51-55.

• 数学 • 上一篇    下一篇

一类Lorenz系统的变分迭代解法

许永红1, 温朝晖2, 莫嘉琪3,4   

  1. 1. 蚌埠学院 数理系, 安徽 蚌埠 233030|2. 安徽财经大学 统计与应用数学学院, 应用数学研究所, 安徽 蚌埠 233030|3.  |安徽师范大学 数学系, 安徽 芜湖 241000;4. 上海高校计算科学E研究院 SJTU研究所, 上海 200240
  • 收稿日期:2010-03-22 出版日期:2011-01-26 发布日期:2011-02-19
  • 通讯作者: 莫嘉琪 E-mail:mojiaqi@mail.ahnu.edu.cn

Variational Iteration Solving Method ofa Class of Lorenz System

XU Yonghong1, |WEN Zhaohui2, MO Jiaqi3,4   

  1. 1. Department of Mathematics &|Physics, Bengbu College, Bengbu 233030, Anhui Province, China|2. Institute of Applied Mathematics, School of Statistics and Applied Mathematics,Anhui University of Finance and Economics, Bengbu 233030, Anhui Province, China|3. Department of Mathemtics, Anhui Normal University, Wuhu 241000, Anhui Province, China;4. Division of Computational Science, EInstitutes of  Shanghai Universities at SJTU, Shanghai 200240, China
  • Received:2010-03-22 Online:2011-01-26 Published:2011-02-19
  • Contact: MO Jiaqi E-mail:mojiaqi@mail.ahnu.edu.cn

摘要:

考虑大气物理中Lorenz系统的求解问题. 先构造一组变分迭代, 再决定系统的初始近似, 最后通过变分迭代方法得到了对应模型的各次近似解.

关键词: 洛仑兹方程, 变分迭代, 近似解

Abstract:

A solving problem for the Lorenz system in atmospheric physics was considered. Firstly, a set of variational iteration was constructed. Then the initial approximate solution was determined. Finally, every approximation for corresponding model was found via  the variational iteration.

Key words: Lorenz equation, variational iteration, approximate solution

中图分类号: 

  • O175.29