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Index reduction of differential algebraic equations by differential Dixon resultant
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- Qin, Xiaolin (author)
- Linköpings universitet,Institutionen för datavetenskap,Tekniska fakulteten
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- Yang, Lu (author)
- Chinese Acad Sci, Peoples R China
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- Feng, Yong (author)
- Chinese Acad Sci, Peoples R China
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- (creator_code:org_t)
- ELSEVIER SCIENCE INC, 2018
- 2018
- English.
- In: Applied Mathematics and Computation. - : ELSEVIER SCIENCE INC. - 0096-3003 .- 1873-5649. ; 328, s. 189-202
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Index reduction; Differential Dixon resultant; Differential elimination; Variable pencil; Differential algebraic equations
Publication and Content Type
- ref (subject category)
- art (subject category)
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