Differencialʹnye uravneniâ, Tome 40 (2004) no. 9, pp. 1271-1279
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A. Pedas. On the approximate solution of weakly singular integro-differential equations of Volterra type. Differencialʹnye uravneniâ, Tome 40 (2004) no. 9, pp. 1271-1279. http://geodesic.mathdoc.fr/item/DE_2004_40_9_a12/
@article{DE_2004_40_9_a12,
author = {A. Pedas},
title = {On the approximate solution of weakly singular integro-differential equations of {Volterra} type},
journal = {Differencialʹnye uravneni\^a},
pages = {1271--1279},
year = {2004},
volume = {40},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DE_2004_40_9_a12/}
}
TY - JOUR
AU - A. Pedas
TI - On the approximate solution of weakly singular integro-differential equations of Volterra type
JO - Differencialʹnye uravneniâ
PY - 2004
SP - 1271
EP - 1279
VL - 40
IS - 9
UR - http://geodesic.mathdoc.fr/item/DE_2004_40_9_a12/
LA - ru
ID - DE_2004_40_9_a12
ER -
%0 Journal Article
%A A. Pedas
%T On the approximate solution of weakly singular integro-differential equations of Volterra type
%J Differencialʹnye uravneniâ
%D 2004
%P 1271-1279
%V 40
%N 9
%U http://geodesic.mathdoc.fr/item/DE_2004_40_9_a12/
%G ru
%F DE_2004_40_9_a12
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.