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Computation of Mixed Type Functional Differential Boundary Value Problems
dc.contributor.author | Abell, Kate A. | |
dc.contributor.author | Elmer, Christopher E. | |
dc.contributor.author | Humphries, A. R. | |
dc.contributor.author | Van Vleck, Erik S. | |
dc.date.accessioned | 2015-03-30T21:46:56Z | |
dc.date.available | 2015-03-30T21:46:56Z | |
dc.date.issued | 2005-09-05 | |
dc.identifier.citation | Abell, Kate A., Elmer, Christopher E., Humphries, A. R., Van Vleck, Erik. "Computation of Mixed Type Functional Differential Boundary Value Problems." (2005) SIAM J. Appl. Dyn. Syst., 4(3), 755–781. (27 pages). http://dx.doi.org/10.1137/040603425. | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/17249 | |
dc.description | This is the published version, also available here: http://dx.doi.org/10.1137/040603425. | en_US |
dc.description.abstract | We study boundary value differential-difference equations where the difference terms may contain both advances and delays. Special attention is paid to connecting orbits, in particular to the modeling of the tails after truncation to a finite interval, and we reformulate these problems as functional differential equations over a bounded domain. Connecting orbits are computed for several such problems including discrete Nagumo equations, an Ising model, and Frenkel--Kontorova type equations. We describe the collocation boundary value problem code used to compute these solutions, and the numerical analysis issues which arise, including linear algebra, boundary functions and conditions, and convergence theory for the collocation approximation on finite intervals. | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.subject | mixed type functional differential equations | en_US |
dc.subject | Boundary value problems | en_US |
dc.subject | traveling waves | en_US |
dc.subject | collocation | en_US |
dc.title | Computation of Mixed Type Functional Differential Boundary Value Problems | en_US |
dc.type | Article | |
kusw.kuauthor | Van Vleck, Erik | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.1137/040603425 | |
kusw.oaversion | Scholarly/refereed, publisher version | |
kusw.oapolicy | This item meets KU Open Access policy criteria. | |
dc.rights.accessrights | openAccess |