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

Author: Pedas A.  

Publisher: MAIK Nauka/Interperiodica

ISSN: 0012-2661

Source: Differential Equations, Vol.40, Iss.9, 2004-09, pp. : 1345-1353

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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.