The Nystrom Method and Convergence Analysis for System of ¨ Fredholm Integral Equations

Abstract

In this paper, the efficient numerical solutions of a class of system of Fredholm integralequations are solved by the Nystrom method, which discretizes the system of integral ¨equations into solving a linear system. The existence and uniqueness of the exact solutionsare proved by the Banach fixed point theorem. The format of the Nystrom solutions is ¨given, especially with the composite Trapezoidal and Simpson rules. The results of errorestimation and convergence analysis are obtained in the infinite norm sense. The validityand reliability of the theoretical analysis are verified by numerical experiments.