Postprocessing of Continuous Galerkin Solutions for Delay Differential Equations with Nonlinear Vanishing Delay

Authors

  • Qiumei Huang College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • Kun Jiang Beijing Institute for Scienti\fc and Engineering Computing, Beijing University of Technology, Beijing, 100124, China
  • Xiuxiu Xu School of Mathematical Sciences, Anhui University, Hefei 230031, China

Keywords:

Pantograph delay differential equations, quasi-graded mesh, continuous Galerkin methods, postprocessing, global superconvergence.

Abstract

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\r polynomial preserving recovery type) and iteration postprocessing. The theoretical expectations\r are confirmed by numerical experiments.

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Published

2019-08-09

Issue

Vol. 16 No. 5 (2019)

Section

Articles