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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.
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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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