Variable multistep methods for delay differential equations

  • Authors:

  • J. A. Martín;O. García

  • Affiliations:

  • Dpt. de Análisis Matemática y Matemática Aplicada, Universidad de Alicante Ap. Correos 99, E-03080 Alicante, Spain;Dpt. de Ciencias Básicas Universidad Eafit, Medellín, Colombia

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2002

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Abstract

In this paper, variable stepsize multistep methods for delay differential equations of the type y(t) = f(t, y(t), y(t - @t)) are proposed. Error bounds for the global discretization error of variable stepsize multistep methods for delay differential equations are explicitly computed. It is proved that a variable multistep method which is a perturbation of strongly stable fixed step size method is convergent.