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Author:

Huang, Qiumei (Huang, Qiumei.) (Scholars:黄秋梅) | Xie, Hehu (Xie, Hehu.)

Indexed by:

SCIE

Abstract:

In the present paper, we discuss the superconvergence of the interpolated Galerkin solutions for Hammerstein equations. With the interpolation post-processing for the Galerkin approximation x(h), we get a higher order approximation I(2h)(2r-1)x(h), whose convergence order is the same as that of the iterated Galerkin solution. Such an interpolation post-processing method is much simpler than the iterated method especially for the weak singular kernel case. Some numerical experiments are carried out to demonstrate the effectiveness of the interpolation post-processing method.

Keyword:

superconvergence iterated Galerkin method smooth and weakly singular kernels interpolation post-processing Hammerstein equations

Author Community:

  • [ 1 ] [Huang, Qiumei]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Xie, Hehu]Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China

Reprint Author's Address:

  • 黄秋梅

    [Huang, Qiumei]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING

ISSN: 1705-5105

Year: 2009

Issue: 4

Volume: 6

Page: 696-710

1 . 1 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 11

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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