TY - JOUR T1 - Postprocessing of Continuous Galerkin Solutions for Delay Differential Equations with Nonlinear Vanishing Delay AU - Huang , Qiumei AU - Jiang , Kun AU - Xu , Xiuxiu JO - International Journal of Numerical Analysis and Modeling VL - 5 SP - 718 EP - 730 PY - 2019 DA - 2019/08 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/13250.html KW - Pantograph delay differential equations, quasi-graded mesh, continuous Galerkin methods, postprocessing, global superconvergence. AB -

In this paper we propose several postprocessing techniques to accelerate the convergence of the continuous Galerkin solutions for delay differential equations with nonlinear vanishing delay. They are interpolation postprocessings (including integration type, Lagrange type, and polynomial preserving recovery type) and iteration postprocessing. The theoretical expectations are confirmed by numerical experiments.