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A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL

莫嘉琪;林万涛;王辉   

  1. Department of Mathemtics, Anhui Normal University, Wuhu 241000, China
    Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China
  • 收稿日期:2006-08-29 修回日期:2007-04-26 出版日期:2009-02-20 发布日期:2009-02-20
  • 通讯作者: 莫嘉琪
  • 基金资助:

    Supported by the National Natural Science Foundation of China (40676016 and 10471039), the State Key Program for Basics Research of China (2003CB415101-03 and 2004CB418304), the Key Project of the Chinese Academy of Sciences (KZCX3-SW-221), in part by E-Insitutes of Shanghai Municipal Education Commission (N.E03004) and the Natural Science Foudation of Zhejiangnm, China (Y606268)

A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL

Mo Jiaqi; Lin Wantao; Wang Hui   

  1. Department of Mathemtics, Anhui Normal University, Wuhu 241000, China
    Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China
  • Received:2006-08-29 Revised:2007-04-26 Online:2009-02-20 Published:2009-02-20
  • Contact: Mo Jiaqi

摘要:

The El Niño/La Niña and the Southern Oscillation (ENSO) is an interannual
phenomenon involved in the tropical Pacific ocean-atmosphere interactions. In this article, the aim is to create an asymptotic solving method of nonlinear equation for the ENSO models. And on the basis of a class of oscillator of ENSO models, using the method of homotopic mapping, the approximation of solution of corresponding problem is studied. It is proved from the results that homotopic method can be used for analyzing the SST anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere-ocean oscillation for ENSO model.

关键词: nonlinear, homotopy, perturbation, ENSO model

Abstract:

The El Niño/La Niña and the Southern Oscillation (ENSO) is an interannual
phenomenon involved in the tropical Pacific ocean-atmosphere interactions. In this article, the aim is to create an asymptotic solving method of nonlinear equation for the ENSO models. And on the basis of a class of oscillator of ENSO models, using the method of homotopic mapping, the approximation of solution of corresponding problem is studied. It is proved from the results that homotopic method can be used for analyzing the SST anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere-ocean oscillation for ENSO model.

Key words: nonlinear, homotopy, perturbation, ENSO model

中图分类号: 

  • 34E15