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author:

Li, Xianjuan (Li, Xianjuan.) [1] (Scholars:李娴娟) | Tang, Tao (Tang, Tao.) [2]

Indexed by:

Scopus SCIE CSCD

Abstract:

This work is to analyze a spectral Jacobi-collocation approximation for Volterra integral equations with singular kernel I center dot(t, s) = (t - s)(-A mu). In an earlier work of Y. Chen and T. Tang [J. Comput. Appl. Math., 2009, 233: 938-950], the error analysis for this approach is carried out for 0 < A mu < 1/2 under the assumption that the underlying solution is smooth. It is noted that there is a technical problem to extend the result to the case of Abel-type, i.e., A mu = 1/2. In this work, we will not only extend the convergence analysis by Chen and Tang to the Abel-type but also establish the error estimates under a more general regularity assumption on the exact solution.

Keyword:

Abel-Volterra integral equation convergence analysis Jacobi spectral collocation method

Community:

  • [ 1 ] [Tang, Tao]Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China
  • [ 2 ] [Li, Xianjuan]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Peoples R China

Reprint 's Address:

  • [Tang, Tao]Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China

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Source :

FRONTIERS OF MATHEMATICS IN CHINA

ISSN: 1673-3452

Year: 2012

Issue: 1

Volume: 7

Page: 69-84

0 . 3 2 3

JCR@2012

0 . 8 0 0

JCR@2023

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 61

SCOPUS Cited Count: 64

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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