Solving two-dimensional linear volterra-fredholm integral equations of the second kind by using successive approximation method and method of successive substitutions

Abstract EN

In this paper, we focus on obtaining an approximate solution of the two types of two-dimensional linear Volterra-Fredhom integral equations of the second kind.

Two numerical procedures are reformulated and applied such as successive approximation method (SAM), method of successive substitutions (MSS) for finding an approximate solution (sometimes the exact solution) for the above integral equations.

This is done by computer program with the aid of the Maple code program version 13 for all the above prescribed methods and all the programs that are listed in the appendix of this paper.

Furthermore, we proved some theoretical results on the convergence analysis of the presented methods.