Non-standard Volterra integral equations: a mean-value theorem numerical approach
In this paper, we present a novel and exible numerical method to solvenon-standard Volterra integral equations of the second kind. Starting from the mean-value theorem for integrals we give theoretical results that allow associating to each Volterra integral equation a system of non-linear equations that is solved by mean of a numerical method. The algorithm produces very accurate numerical solutions and it is very fast. To test the tness of our method, we applied it to some examples.