Approximated Rational Solutions for Systems of Differential Equations and Partial Differential Equations

  1. Celina Pestano Gabino 1
  2. Concepción Nieves González Concepción 1
  1. 1 Universidad de La Laguna
    info

    Universidad de La Laguna

    San Cristobal de La Laguna, España

    GRID grid.10041.34

Journal:
Documentos de Trabajo ( Facultad de Ciencias Económicas y Empresariales, Universidad de La Laguna )

Year of publication: 2002

Issue: 4

Pages: 1

Type: Article

Export: RIS

Abstract

In [3] we presented a technique to study the existence of rational solutions for systems of linear first-order ordinary differential equations. The method is based on a rationality characterisation that involves Matrix Padé Approximants. Moreover the main ideas were only applied in the numerical resolution of a particular partial differential equation. This paper may be considered as an extension of [3], in the sense that we propose fundamental matrices directly for linear m-order ordinary differential equations without making a transformation to an equivalent system of first order. In addition, we increase its field of applications to particular solutions of the mentioned systems and to Partial Differential Equations.