This paper presents a comparison between variational iteration method (VIM) and modfied variational iteration method (MVIM) for approximate solution a system of Volterra integral equation of the first kind. We convert a system of Volterra integral equations to a system of Volterra integro-di®erential equations that use VIM and MVIM to approximate solution of this system and hence obtain an appr...

In this paper, we consider problems of discrete approximation special integral operators with the Calderon–Zygmund kernel. We introduce spaces and bounded acting in these spaces; then use for search approximate solutions corresponding equations. state theorems on solvability equations operators, compare their analogs, obtain estimates errors solutions.