Removing Apparent Singularities of Systems of Linear Differential Equations with Rational Function Coefficients

Moulay A. Barkatou (1) , Suzy S. Maddah (2, 1)

1 XLIM-MATHIS - Mathématiques & Sécurité de l'information
2 LIU - Lebanese International University

In this paper we present a new algorithm which, given a system of first order linear differential equations with rational function coefficients, constructs an equivalent system with rational function coefficients, whose finite singularities are exactly the non-apparent singularities of the original system. This algorithm is implemented in the computer algebra system Maple and is illustrated by examples.

Domaines: Calcul formel [cs.SC]

Moulay A. Barkatou, Suzy S. Maddah. Removing Apparent Singularities of Systems of Linear Differential Equations with Rational Function Coefficients. ISSAC 2015 - International Symposium on Symbolic and Algebraic Computation, Jul 2015, Bath, United Kingdom. pp.53-60, ⟨10.1145/2755996.2756668⟩. ⟨hal-01306230⟩