任意阶隐式指数时程差分多步法及其在非线性系统中的应用  

The arbitrary order implicit multistep exponential time differencing method and its application for nonlinear systems

作　　者：唐晨[1] 闫海青[1] 张皞[1] 刘铭[1] 张桂敏[1] 

机构地区：[1]天津大学应用物理系

出　　处：《物理学报》2004年第6期1699-1703,共5页Acta Physica Sinica

基　　金：国家自然科学基金 (批准号 :1990 2 0 0 2 ) ;上海交通大学振动;冲击;噪声国家重点实验室开放基金 (批准号 :VSN 2 0 0 3 0 3 );天津大学"985教育振兴计划"基金资助的课题~~

摘　　要：对非线性系统提出了任意阶隐式指数时程差分多步法 ,实现了任意阶次指数时程差分预测 校正算法 .发展完善了指数时程差分法 .将新算法应用于非线性系统 ,取得了较好的效果 .数值结果表明隐式指数时程差分多步法很好地修正了显式指数时程差分多步法 ,隐式指数时程差分多步法是一种高精度。The arbitrary order implicit exponential time differencing multistep method is proposed for nonlinear systems.We carry out the predictor_corrector method of exponential time differencing.When the method is applied to the nonlinear systems,the effect is admirable.The numerical results show that the accuracy of explicit exponential time differencing multistep method can be enhanced by implicit exponential time differencing multistep method,and the lather is highly accurate and computationally efficient.The exponential time differencing method has been developen and perfected by the present studies.

关 键 词：非线性系统 任意阶隐式指数时程差分多步法 混沌 任意阶次指数时程差分预测-校正算法 

分 类 号：O415.5[理学—理论物理]