Exact and nonstandard numerical schemes for linear delay differential models

作者：

Highlights：

• First example of an exact scheme for DDE valid in the whole domain is given.

• A new family of nonstandard methods of increasing order of accuracy is proposed.

• Dynamic consistency of the new methods is rigorously proved.

• Asymptotic stability, positivity, and oscillation properties are analyzed.

摘要

•First example of an exact scheme for DDE valid in the whole domain is given.•A new family of nonstandard methods of increasing order of accuracy is proposed.•Dynamic consistency of the new methods is rigorously proved.•Asymptotic stability, positivity, and oscillation properties are analyzed.

论文关键词：Delay differential equations,Nonstandard finite difference methods,Dynamic consistency

论文评审过程：Received 24 June 2017, Revised 28 May 2018, Accepted 11 June 2018, Available online 7 July 2018, Version of Record 7 July 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.06.029