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http://dx.doi.org/10.5666/KMJ.2016.56.4.1141

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)
Publication Information
Kyungpook Mathematical Journal / v.56, no.4, 2016 , pp. 1141-1160 More about this Journal
Abstract
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.
Keywords
Differential-algebraic systems; Integro-differential operators; Green's function; Symbolic method;
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