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Variational iteration solving method

时间:2021-12-07 17:45:17 天文地理论文 我要投稿

Variational iteration solving method for El Nino phenomenon atmospheric physics of nonlinear model

A class of El Nino atmospheric physics oscillation model is considered. The El Nino atmospheric physics oscillation is an abnormal phenomenon involved in the tropical Pacific ocean-atmosphere interactions. The conceptual oscillator model should consider the variations of both the eastern and westem Pacific anomaly patterns. An El Nino atmospheric physics model is proposed using a method for the variational iteration theory. Using the variational iteration method, the approximate expansions of the solution of corresponding problem are constructed. That is, firstly, introducing a set of functional and accounting their variationals, the Lagrange multiplicators are counted, and then the variational iteration is defined, finally, the approximate solution is obtained. From approximate expansions of the solution, the zonal sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the seaair oscillation for El Nino atmospheric physics model can be analyzed. El Nino is a very complicated natural phenomenon. Hence basic models need to be reduced for the sea-air oscillator and are solved. The variational iteration is a simple and valid approximate method.

作 者: MO Jiaqi WANG Hui LIN Wantao LIN Yihua   作者单位: MO Jiaqi(Anhui Normal University, Wuhu 241000, China;Division of Computional Science, E-Institute of Shanghai Universities, Shanghai Jiaotong University Shanghai 200240, China)

WANG Hui(Chinese Academy of Meteorological Sciences, Beijing 100081,China)

LIN Wantao,LIN Yihua(State Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmosheric Physics, Chinese Academy of Sciences, Beijing 100029, China) 

刊 名: 海洋学报(英文版)  SCI 英文刊名: ACTA OCEANOLOGICA SINICA  年,卷(期): 2005 24(5)  分类号: P7  关键词: nonlinear   variational iteration method   El Nino phenomenon