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求解高指数微分代数方程组的微分变换法(英文)

DIFFERENTIAL TRANSFORM METHOD FOR HIGH INDEX DIFFERENTIAL-ALGEBRAIC EQUATIONS

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【Author】 Wang Yanbo and Chen Zhaoxia (Dept.of Appl.Math.,Nanjing Agricultural University,Nanjing,210095 PRC) You Xiong (Dept.of Appl.Math.,Nanjing Agricultural University,Nanjing,210095 PRC/ State Key Laboratory for Novel Software Technology at Nanjing University and Department of Mathematics,Nanjing University,Nanjing,210093 PRC)

【机构】南京农业大学数学系；南京大学数学系；

【摘要】本文给出了应用微分变换法求解线性高指数微分代数方程组的一般程式;利用特殊标号树理论证明了Faa di Bruno公式;再将微分变换法应用于非线性高指数微分代数方程组,并对约束系统建立了基于局部参数化的微分变换法.更多还原

【Abstract】 This paper presents a general procedure of applying the DTM to systems of linear differential-algebraic equations of higher index.Faa di Bruno’s formula is proved by means of the theory of special labeled tree.The DTM is also applied to systems of nonlinear differential-algebraic equations of higher index and a local-parametrization-based DTM is developed for constrained systems.更多还原

【关键词】微分代数方程组；微分变换法；流形上的微分方程；基于局部参数化的DTM；
【Key words】 system of differential-algebraic equations； differential transform method； differential equation on manifold； local-parametrization-based DTM；

【基金】 Supported by the Natural Science Foundation of China under Grant 10771099

【文献出处】南京大学学报数学半年刊 ,Journal of Nanjing University(Mathematical Biquarterly) , 编辑部邮箱 ,2009年02期

【分类号】O155
【被引频次】3
【下载频次】173

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