Collocation schemes for periodic solutions of neutral delay differential equations

DAW Barton, B Krauskopf, RE Wilson

Research output: Contribution to journalArticle (Academic Journal)peer-review

29 Citations (Scopus)

Abstract

We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential difference equation (i.e. a delay differential equation (DDE) coupled with a difference equation). Numerical examples are used to demonstrate these schemes and their respective orders of convergence. Both collocation schemes are implemented in DDE-BIFTOOL, a numerical continuation tool for delay equations. Their use in a continuation setting is shown with one- and two-parameter bifurcation studies of a transmission line model.
Translated title of the contributionCollocation schemes for periodic solutions of neutral delay differential equations
Original languageEnglish
Pages (from-to)1087 - 1101
Number of pages15
JournalJournal of Difference Equations and Applications
Volume12 (11)
DOIs
Publication statusPublished - Nov 2006

Bibliographical note

Publisher: Taylor & Francis Ltd

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