A direct method to solve integral and integro-differential equations of convolution type by using improved operational matrix

Abstract

In this article, we use improved operational matrix of block pulse functions on interval [0, 1) to solve Volterra integral and integro-differential equations of convolution type without solving any system and projection method. We first obtain Laplace transform of the problem and then we find numerical inversion of Laplace transform by improved operational matrix of integration. Numerical examples show that the approximate solutions have a good degree of accuracy.