A 3/8 Simpson's numerical scheme for the classes of Volterra integral equations of first kind

Abstract

In this paper, we proposed a 3/8 Simpson’s numerical scheme for solving the linear, nonlinear and system of Volterra integral equations of the first kind. The scheme is further assessed with the classical Simpson’s rule and revealed a high level of accuracy with minimal error. Further, we applied the scheme to certain numerical examples in each category and it is found to be of great accuracy and simplicity over other methods.