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Differentsial'nye Uravneniya, 2004, Volume 40, Number 9, Pages 1271–1279 (Mi de11145)  
This article is cited in 1 scientific paper (total in 1 paper)

Numerical methods

On the approximate solution of weakly singular integro-differential equations of Volterra type

A. Pedas

Institute of Applied Mathematics, Tartu State University, Estonia
Full-text PDF (1145 kB) Citations (1)
Abstract: Recently, the convergence rate of the collocation method for integral and integro-differential equations with weakly singular kernels has been studied in a series of papers [1–7]. The present paper belongs to the same series. We analyze the possibility of constructing approximate solutions of high-order accuracy on a uniform or almost uniform grid for weakly singular integro-differential equations of Volterra type.
Received: 15.03.2004
English version:
Differential Equations, 2004, Volume 40, Issue 9, Pages 1345–1353
DOI: https://doi.org/10.1007/s10625-005-0013-9
Bibliographic databases:
Document Type: Article
UDC: 519.642.2
Language: Russian
Citation: A. Pedas, “On the approximate solution of weakly singular integro-differential equations of Volterra type”, Differ. Uravn., 40:9 (2004), 1271–1279; Differ. Equ., 40:9 (2004), 1345–1353
Citation in format AMSBIB
\Bibitem{Ped04}
\by A.~Pedas
\paper On the approximate solution of weakly singular integro-differential equations of Volterra type
\jour Differ. Uravn.
\yr 2004
\vol 40
\issue 9
\pages 1271--1279
\mathnet{http://mi.mathnet.ru/de11145}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2199978}
\transl
\jour Differ. Equ.
\yr 2004
\vol 40
\issue 9
\pages 1345--1353
\crossref{https://doi.org/10.1007/s10625-005-0013-9}
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    • This publication is cited in the following 1 articles:
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