Variable multistep methods for delay differential equations |
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Institution: | 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 |
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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 − τ)) 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. |
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