Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation

Hdl Handle:
http://hdl.handle.net/10034/619088
Title:
Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation
Authors:
Ford, Neville J.; Lima, Pedro M.; Lumb, Patricia M.
Abstract:
In this work we introduce and analyse a stochastic functional equation, which contains both delayed and advanced arguments. This equation results from adding a stochastic term to the discrete FitzHugh-Nagumo equation which arises in mathematical models of nerve conduction. A numerical method is introduced to compute approximate solutions and some numerical experiments are carried out to investigate their dynamical behaviour and compare them with the solutions of the corresponding deterministic equation.
Affiliation:
University of Chester, Instituto Superior Tecnico, University of Lisbon, University of Chester
Citation:
Ford, N. J., Lima, P. M., & Lumb, P. M. (2017). Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh–Nagumo equation. Applied Mathematics and Computation, 293, 448-460. doi: http://dx.doi.org/10.1016/j.amc.2016.08.035
Publisher:
Elsevier
Journal:
Applied Mathematics and Computation
Publication Date:
Nov-2016
URI:
http://hdl.handle.net/10034/619088
DOI:
10.1016/j.amc.2016.08.035
Type:
Article
Language:
en
ISSN:
0096-3003
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorFord, Neville J.en
dc.contributor.authorLima, Pedro M.en
dc.contributor.authorLumb, Patricia M.en
dc.date.accessioned2016-08-31T12:06:31Z-
dc.date.available2016-08-31T12:06:31Z-
dc.date.issued2016-11-
dc.identifier.citationFord, N. J., Lima, P. M., & Lumb, P. M. (2017). Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh–Nagumo equation. Applied Mathematics and Computation, 293, 448-460. doi: http://dx.doi.org/10.1016/j.amc.2016.08.035en
dc.identifier.issn0096-3003-
dc.identifier.doi10.1016/j.amc.2016.08.035-
dc.identifier.urihttp://hdl.handle.net/10034/619088-
dc.description.abstractIn this work we introduce and analyse a stochastic functional equation, which contains both delayed and advanced arguments. This equation results from adding a stochastic term to the discrete FitzHugh-Nagumo equation which arises in mathematical models of nerve conduction. A numerical method is introduced to compute approximate solutions and some numerical experiments are carried out to investigate their dynamical behaviour and compare them with the solutions of the corresponding deterministic equation.en
dc.language.isoenen
dc.publisherElsevieren
dc.rightsAn error occurred on the license name.*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectstochastic mixed-type functional differential equationen
dc.subjectEuler-Maruyama methoden
dc.titleNumerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equationen
dc.typeArticleen
dc.contributor.departmentUniversity of Chester, Instituto Superior Tecnico, University of Lisbon, University of Chesteren
dc.identifier.journalApplied Mathematics and Computationen
dc.date.accepted2016-08-19-
or.grant.openaccessYesen
rioxxterms.funderSantander Universitiesen
rioxxterms.identifier.projectInternational Research Excellence Award, 2014-15en
rioxxterms.versionAMen
rioxxterms.licenseref.startdate2216-12-31-
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