Discrete variable methods for delay-differential equations with threshold-type delays

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:228

Article; Proceedings Paper

Jackiewicz, Z.¹  Zubik-Kowal, B.² 

[1] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

[2] Boise State Univ, Dept Math, Boise, ID 83725 USA

关键词: Delay-differential systems;    Threshold conditions;    Numerical approximations;    Error analysis;   

DOI  :  10.1016/j.cam.2008.03.022

来源: Elsevier

【 摘 要 】

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. Published by Elsevier B.V.

【 授权许可】

Free