Variable multistep methods for higher-order delay differential equations

Authors:
J. A. Martín;O. García
Affiliations:
Dpto. Matemática Aplicada, Universidad de Alicante Ap. Correos 99, E-03080 Alicante, Spain;Dpto. de Ciencias Básicas, Universidad Eafit Medellín, Colombia
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2002

Citing 1
Cited 1

Variable multistep methods for delay differential equations

Mathematical and Computer Modelling: An International Journal

On the solutions of a system of linear retarded and advanced differential equations by the Bessel collocation approximation

Computers & Mathematics with Applications

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Abstract

In this paper, variable stepsize multistep methods for higher-order delay differential equations of the type y^(^r^)(t) = f(t, y(t), y(t-@t)) are proposed. Explicit error bounds for the global discretization error are given. It is proved that a variable multistep method which is a perturbation of strongly stable fixed stepsize method is convergent.