Solving DDEs in MATLAB
Solving DDEs in MATLAB
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DOI：
10.1016/s0168-9274(00)00055-6
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发表时间：
2001-06-01
影响因子：
2.8
通讯作者：
Thompson, S
中科院分区：
文献类型：
--
作者：
Shampine, LF;Thompson, S
在MATLAB中编写了求解常时滞微分方程的程序dde23。在本文中，我们讨论了它的一些功能，包括不连续跟踪，迭代短延迟，和事件的位置。我们还开发了一些理论结果的基础求解器，包括收敛性，误差估计，和短延迟的稳定性的影响。一些示例说明了dde23的使用，并表明它是一个非常容易使用的强大DDE求解器。(C)2001年IMACS。由Elsevier Science B.V.出版，版权所有。
We have written a program, dde23, to solve delay differential equations (DDEs) with constant delays in MATLAB. In this paper we discuss some of its features, including discontinuity tracking, iteration for short delays, and event location. We also develop some theoretical results that underlie the solver, including convergence, error estimation, and the effects of short delays on stability. Some examples illustrate the use of dde23 and show it to be a capable DDE solver that is exceptionally easy to use. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.