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Differential Equations

, Volume 40, Issue 9, pp 1345–1353 | Cite as

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

  • A. A. Pedas
Numerical Methods

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.

Keywords

Differential Equation Partial Differential Equation Ordinary Differential Equation Approximate Solution Functional Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© MAIK “Nauka/Interperiodica” 2004

Authors and Affiliations

  • A. A. Pedas
    • 1
  1. 1.Institute of Applied MathematicsTartu State UniversityTartuEstonia

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