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Author:

Xu, Xiuxiu (Xu, Xiuxiu.) | Huang, Qiumei (Huang, Qiumei.) | Chen, Hongtao (Chen, Hongtao.)

Indexed by:

Scopus SCIE CSCD

Abstract:

This paper is concerned with the superconvergent points of the continuous Galerkin solutions for delay differential equations of pantograph type. We prove the local nodal superconvergence of continuous Galerkin solutions under uniform meshes and locate all the superconvergent points based on the supercloseness between the continuous Galerkin solution U and the interpolation. Pi(h)u of the exact solution u. The theoretical results are illustrated by numerical examples.

Keyword:

Pantograph delay differential equations Superconvergence Continuous Galerkin methods Uniform mesh Supercloseness

Author Community:

  • [ 1 ] [Xu, Xiuxiu]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 2 ] [Huang, Qiumei]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 3 ] [Chen, Hongtao]Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
  • [ 4 ] [Chen, Hongtao]Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Peoples R China

Reprint Author's Address:

  • [Huang, Qiumei]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China

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Source :

JOURNAL OF COMPUTATIONAL MATHEMATICS

ISSN: 0254-9409

Year: 2016

Issue: 2

Volume: 34

Page: 186-199

0 . 9 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:71

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 14

SCOPUS Cited Count: 16

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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