Index reduction of differential algebraic equations by differential Dixon resultant
Index reduction of differential algebraic equations by differential Dixon resultant
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DOI：
10.1016/j.amc.2017.12.029
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发表时间：
2018-07
期刊：
影响因子：
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通讯作者：
Xiaolin Qin;Lu Yang;Yong Feng;B. Bachmann;P. Fritzson
中科院分区：
文献类型：
--
作者：
Xiaolin Qin;Lu Yang;Yong Feng;B. Bachmann;P. Fritzson
High index differential algebraic equations (DAEs) are ordinary differential equations (ODEs) with constraints and arise frequently from many mathematical models of physical phenomenons and engineering fields. In this paper, we generalize the idea of differential elimination with Dixon resultant to polynomially nonlinear DAEs. We propose a new algorithm for index reduction of DAEs and establish the notion of differential Dixon resultant, which can provide the differential resultant of the enlarged system of original equations. To make use of structure of DAEs, variable pencil technique is given to determine the termination of differentiation. Moreover, we also provide a heuristic method for removing the extraneous factors from differential resultant. The experimentation shows that the proposed algorithm outperforms existing ones for many examples taken from the literature.
