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    Computation of Mixed Type Functional Differential Boundary Value Problems

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    VanVleck_SIAMADS_4(3)745.pdf (656.9Kb)
    Issue Date
    2005-09-05
    Author
    Abell, Kate A.
    Elmer, Christopher E.
    Humphries, A. R.
    Van Vleck, Erik S.
    Publisher
    Society for Industrial and Applied Mathematics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
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    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.
    Description
    This is the published version, also available here: http://dx.doi.org/10.1137/040603425.
    URI
    http://hdl.handle.net/1808/17249
    DOI
    https://doi.org/10.1137/040603425
    Collections
    • Mathematics Scholarly Works [282]
    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.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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