Index reduction of differential algebraic equations by differential Dixon resultant

Qin, XiaolinLinköpings universitet,Institutionen för datavetenskap,Tekniska fakulteten (författare)

Funding Agencies|National Natural Science Foundation of China [61402537, 11671377]; West Light Foundation of Chinese Academy of Sciences; Open Project of Academy of Intelligent Software of Guangzhou University
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. (c) 2018 Elsevier Inc. All rights reserved.

NATURVETENSKAP Matematik Matematisk analys hsv//swe
NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
Index reduction; Differential Dixon resultant; Differential elimination; Variable pencil; Differential algebraic equations

Yang, LuChinese Acad Sci, Peoples R China (författare)
Feng, YongChinese Acad Sci, Peoples R China (författare)
Bachmann, BernhardBielefeld Univ Appl Sci, Germany (författare)
Fritzson, PeterLinköpings universitet,Programvara och system,Tekniska fakulteten(Swepub:liu)petfr27 (författare)
Linköpings universitetInstitutionen för datavetenskap (creator_code:org_t)

Ingår i:Applied Mathematics and Computation: ELSEVIER SCIENCE INC328, s. 189-2020096-30031873-5649

Av författaren/redakt...: Qin, Xiaolin; Yang, Lu; Feng, Yong; Bachmann, Bernha ...; Fritzson, Peter

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