Developing a delay differential equation solver
type: Item
instance of: scholarly article
title: Developing a delay differential equation solver
zbMATH Open document ID: 0779.65043
DOI: 10.1016/0168-9274(92)90030-H
author: Christopher A. H. Paul
published in: Applied Numerical Mathematics
publication date: 1992-09-26T00:00:00Z
review text: A delay differential equation \(y' = f(t,y(t),y(t-\tau(t,y(t))))\), \(t \geq t_ 0\), \(y(t) = \psi(t)\) for \(t\leq t_ 0\), \(y(t_ 0) = y_ 0\) is solved by use of a Runge-Kutta method. The following problems are discussed: choice of interpolant, the influence of discontinuities, vanishing delays and problems arising from floating point arithmetic.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34K05
zbMATH DE Number: 54689
zbMATH Keywords: delay differential equation
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: choice of interpolant
Wikidata QID: Q115363729
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 54689