A new method for computing the solutions of differential equation systems using generalized inverse via Maple

In J. Jones et al., J. Symbolic Comput. 25 (1998) 99–124, an algorithm for computing the generalized inverse of a singular rational matrix has been implemented in Maple. In this paper, we present a new symbolic algorithm to compute the initial value problem of higher order differential equations wit...

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Bibliographic Details
Published in:Applied mathematics and computation 2001-06, Vol.121 (2), p.291-299
Main Authors: Güyer, Tolga, Kıymaz, Onur, Bilgici, Göksal, Mirasyedioğlu, Şeref
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
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Summary:In J. Jones et al., J. Symbolic Comput. 25 (1998) 99–124, an algorithm for computing the generalized inverse of a singular rational matrix has been implemented in Maple. In this paper, we present a new symbolic algorithm to compute the initial value problem of higher order differential equations with constant coefficients using generalized inverse. The algorithm is subsequently implemented in the symbolic computational package Maple.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(00)00003-5