A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL

doi:10.1016/S0252-9602(09)60011-4

Acta mathematica scientia,Series B

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A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL

Mo Jiaqi; Lin Wantao; Wang Hui

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

Abstract

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

CLC Number:

34E15

Mo Jiaqi; Lin Wantao; Wang Hui. A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL[J].Acta mathematica scientia,Series B, 2009, 29(1): 101-110.

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A CLASS OF HOMOTOPIC SOLVING METHOD FOR ENSO MODEL

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