Comparative study of some numerical methods for FitzHugh-Nagumo equation

dc.contributor.authorAppadu, A. Rao
dc.contributor.authorAgbavon, Koffi Messan
dc.contributor.emailrao.appadu@up.ac.zaen_ZA
dc.date.accessioned2020-07-13T08:45:14Z
dc.date.issued2019-07-24
dc.description.abstractThe FitzHugh-Nagumo equation has various applications in the fields of flame propagation, logistic population growth, neurophysiology, autocatalytic chemical reaction and nuclear theory. In this work, we construct three versions of nonstandard finite difference schemes in order to solve the FitzHugh-Nagumo equation with specified initial and boundary conditions under three different regimes. Properties of the methods such as positivity and boundedness are studied. The performances of the three methods is compared by computing L1, L∞ errors and CPU time at given time, T = 1.0.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.embargo2020-07-24
dc.description.librarianam2020en_ZA
dc.description.sponsorshipDST/NRF SARChI Chair in Mathematical Models and Methods in Bioengineering and Biosciences (M3B2)en_ZA
dc.description.urihttps://aip.scitation.org/journal/apcen_ZA
dc.identifier.citationAppadu, A.R. & Agbavon, K.M. Comparative study of some numerical methods for FitzHugh-Nagumo equation. AIP Conference Proceedings 2116, 030036 (2019); https://DOI.org/ 10.1063/1.5114020.en_ZA
dc.identifier.isbn978-0-7354-1854-7
dc.identifier.issn2158-3226 (online)
dc.identifier.other10.1063/1.5114020
dc.identifier.urihttp://hdl.handle.net/2263/75163
dc.language.isoenen_ZA
dc.publisherAmerican Institute of Physicsen_ZA
dc.rights© 2019 Author(s).en_ZA
dc.subjectFitzHugh-Nagumo equationen_ZA
dc.subjectNonstandard finite difference schemeen_ZA
dc.subjectPositivityen_ZA
dc.subjectBoundednessen_ZA
dc.titleComparative study of some numerical methods for FitzHugh-Nagumo equationen_ZA
dc.typeArticleen_ZA

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