| dc.contributor.author | Elmer, Christopher E. | |
| dc.contributor.author | Van Vleck, Erik S. | |
| dc.date.accessioned | 2015-03-31T16:06:12Z | |
| dc.date.available | 2015-03-31T16:06:12Z | |
| dc.date.issued | 2005-04-05 | |
| dc.identifier.citation | Elmer, Christopher E. & Van Vleck, Erik. "Spatially Discrete FitzHugh-Nagumo Equations." (2005) SIAM J. Appl. Math., 65(4), 1153–1174. (22 pages). http://dx.doi.org/10.1137/S003613990343687X. | en_US |
| dc.identifier.uri | http://hdl.handle.net/1808/17250 | |
| dc.description | This is the published version, also available here: http://dx.doi.org/10.1137/S003613990343687X. | en_US |
| dc.description.abstract | We consider pulse and front solutions to a spatially discrete FitzHugh--Nagumo equation that contains terms to represent both depolarization and hyperpolarization of the nerve axon. We demonstrate a technique for deriving candidate solutions for the McKean nonlinearity and present and apply solvability conditions necessary for existence. Our equation contains both spatially continuous and discrete diffusion terms. | en_US |
| dc.publisher | Society for Industrial and Applied Mathematics | en_US |
| dc.subject | traveling fronts and pulses | en_US |
| dc.subject | discrete diffusion | en_US |
| dc.title | Spatially Discrete FitzHugh-Nagumo Equations | en_US |
| dc.type | Article | |
| kusw.kuauthor | Van Vleck, Erik | |
| kusw.kudepartment | Mathematics | en_US |
| dc.identifier.doi | 10.1137/S003613990343687X | |
| kusw.oaversion | Scholarly/refereed, publisher version | |
| kusw.oapolicy | This item meets KU Open Access policy criteria. | |
| dc.rights.accessrights | openAccess | |
