Abstract One of the numerical methods for solving linear Volterra integral equations is block-by-block method, which is explained in [L.M. Delves, J.L. Mohamed, Computational Methods for Integral Equations, Cambridge University Press, 1985; L.M. Delves, J. Walsh, Numerical Solution of Integral Equations, Oxford University Press, 1974] and [P.K. Kyte, P. Puri, Computational Methods for Linear Integral Equations, Birkhauser, Boston, 2002]. In this article, we explain a general method for constructing block-by-block systems for solving Volterra integral equations, then we deduce some of the special cases, especially the Linz’s block-by-block method, which explained in these references.

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