Approximate solutions and error estimations of Volterra functional integral equation using Said Ball technique

Abstract

The purpose of this study is to construct a new efficient method for solving Volterra functional integral equations existing in engineering and sciences. The approximation of the functions and the convergence analysis of this technique are stated. Some computational experiments are done to check the applicability of our computational technique and an error bound is achieved which ensures the convergence of the discussed method. The results are offered to expose the accuracy of this method.