Multiblock matrix methods for solution of integrodifferential equations of (0, k) type

Easily implementable numerical-analytical (so-called matrix) methods are developed and analyzed for approximate solution of one-dimensional linear integrodifferential equations with constant integration limits containing a differential expression only in the integrand. Zero-rank matrix algorithms of numerical differentiation and integration are used for construction. The original equation is reduced to a linear algebraic vector equation for the values of the sought solution at the grid points and to an interpolation formula.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 55, pp. 69–75, 1985.