Theory and numerics for multi-term periodic delay differential equations, small solutions and their detection

Hdl Handle:
http://hdl.handle.net/10034/346436
Title:
Theory and numerics for multi-term periodic delay differential equations, small solutions and their detection
Authors:
Ford, Neville J.; Lumb, Patricia M.
Abstract:
We summarise a theoretical treatment that analyses whether the equation has small solutions. We consider discrete equations that arise when a numerical method with fixed step size is applied to approximate the solution to (†) and we develop a corresponding theory. Our results show that small solutions can be detected reliably by the numerical scheme. We conclude with some numerical examples.
Affiliation:
University of Chester
Citation:
Chester: University of Chester, 2006
Publisher:
University of Chester
Publication Date:
2006
URI:
http://hdl.handle.net/10034/346436
Additional Links:
http://www.chester.ac.uk
Type:
Technical Report
Language:
en
Series/Report no.:
Applied Mathematics Group; 2006: 3
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorFord, Neville J.en
dc.contributor.authorLumb, Patricia M.en
dc.date.accessioned2015-03-09T16:41:46Zen
dc.date.available2015-03-09T16:41:46Zen
dc.date.issued2006en
dc.identifier.citationChester: University of Chester, 2006en
dc.identifier.urihttp://hdl.handle.net/10034/346436en
dc.description.abstractWe summarise a theoretical treatment that analyses whether the equation has small solutions. We consider discrete equations that arise when a numerical method with fixed step size is applied to approximate the solution to (†) and we develop a corresponding theory. Our results show that small solutions can be detected reliably by the numerical scheme. We conclude with some numerical examples.en
dc.language.isoenen
dc.publisherUniversity of Chesteren
dc.relation.ispartofseriesApplied Mathematics Groupen
dc.relation.ispartofseries2006: 3en
dc.relation.urlhttp://www.chester.ac.uken
dc.subjectdelay differential equationsen
dc.subjectsmall solutionsen
dc.subjectsuper-exponential solutionsen
dc.subjectnumerical methodsen
dc.titleTheory and numerics for multi-term periodic delay differential equations, small solutions and their detectionen
dc.typeTechnical Reporten
dc.contributor.departmentUniversity of Chesteren
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