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

• Celina Pestano-Gabino ^[1] ; Concepción González-Concepción ^[1]
  1. [1] Universidad de La Laguna

     Universidad de La Laguna

     San Cristóbal de La Laguna, España

     
• Localización: Documentos de Trabajo ( Facultad de Ciencias Económicas y Empresariales, Universidad de La Laguna ), Nº. 4, 2002
• Idioma: inglés
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• Resumen

  • 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.