The Solution of Volterra Integral Equations of the Convolution Type Using Two-Point Rational Approximants

This paper applies the method of Laplace transform inversionusing two-point rational approximants, introduced by Grundy(1977), to the solution of Volterra integral equations of theconvolution type. The transforms which occur in solving theseequations using Laplace transform methods are, in many cases,of the type which can be inverted by the method introduced inGrundy (1977). There are however additional difficulties whichhave to be met. Examples are given to illustrate their resolutionand at the same time indicate the scope of the method.