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Article
Discrete Variable Methods for Delay-Differential Equations with Threshold-Type Delays
Journal of Computational and Applied Mathematics
  • Z. Jackiewicz, Arizona State University
  • Barbara Zubik-Kowal, Boise State University
Document Type
Article
Publication Date
6-15-2009
Disciplines
Abstract
We study numerical solution of systems of delay-differential equations in which the delay function, which depends on the unknown solution, is defined implicitly by the threshold condition. We study discrete variable numerical methods for these problems and present error analysis. The global error is composed of the error of solving the differential systems, the error from the threshold conditions and the errors in delay arguments. Our theoretical analysis is confirmed by numerical experiments on threshold problems from the theory of epidemics and from population dynamics.
Copyright Statement

This is an author-produced, peer-reviewed version of this article. © 2009, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (https://creativecommons.org/licenses/by-nc-nd/4.0/). The final, definitive version of this document can be found online at Journal of Computational and Applied Mathematics, doi: 10.1016/j.cam.2008.03.022

Citation Information
Z. Jackiewicz and Barbara Zubik-Kowal. "Discrete Variable Methods for Delay-Differential Equations with Threshold-Type Delays" Journal of Computational and Applied Mathematics (2009)
Available at: http://works.bepress.com/barbara_zubik_kowal/2/