Convergence of block boundary value methods for solving delay differential algebraic equations with index-1 and index-2

作者：

Highlights：

• Block boundary value methods are proposed for the delay differential algebraic equations with index-1 and index-2.

• The error estimate of the proposed methods is analyzed.

• The convergence order of the proposed methods is consistent with the underlying one in the case of ordinary differential equations.

摘要

•Block boundary value methods are proposed for the delay differential algebraic equations with index-1 and index-2.•The error estimate of the proposed methods is analyzed.•The convergence order of the proposed methods is consistent with the underlying one in the case of ordinary differential equations.

论文关键词：Delay differential algebraic equation,Block boundary value method,Convergence

论文评审过程：Received 20 May 2020, Revised 17 January 2021, Accepted 23 January 2021, Available online 4 February 2021, Version of Record 4 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126034