Collocation schemes for periodic solutions of neutral delay differential equations

D.A.W. Barton, B. Krauskopf, R.E. Wilson

Research output: Contribution to JournalArticleAcademicpeer-review

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. © 2006 Taylor & Francis.
Original languageEnglish
Pages (from-to)1087-1101
Number of pages15
JournalJournal of Difference Equations and Applications
Volume12
Issue number11 Part 2
DOIs
Publication statusPublished - Nov 2006

Bibliographical note

Issue 11: Part Two: On the Occasion of the 60th Birthday of Andr Vanderbauwhede

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