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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

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.

UDC: 519.642.2

Received: 15.03.2004

 English version: Differential Equations, 2004, 40:9, 1345–1353

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