Kyungpook Mathematical Journal

  • 제56권4호
  • /
  • Pages.1141-1160
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  • 2016
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Symbolic Algorithm for a System of Differential-Algebraic Equations

  • Thota, Srinivasarao (Department of Mathematics Motilal Nehru National Institute of Technology Allahabad) ;
  • Kumar, Shiv Datt (Department of Mathematics Motilal Nehru National Institute of Technology Allahabad)
  • 투고 : 2015.09.05
  • 심사 : 2016.07.05
  • 발행 : 2016.12.23
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초록

In this paper, a symbolic algorithm for solving a regular initial value problem (IVP) for a system of linear differential-algebraic equations (DAEs) with constant coeffcients has been presented. Algebra of integro-differential operators is employed to express the given system of DAEs. We compute a canonical form of the given system which produces another simple equivalent system. Algorithm includes computing the matrix Green's operator and the vector Green's function of a given IVP. Implementation of the proposed algorithm in Maple is also presented with sample computations.

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참고문헌

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피인용 문헌

  1. Initial value problems for system of differential-algebraic equations in Maple vol.11, pp.1, 2018, https://doi.org/10.1186/s13104-018-3748-0