CONVERGENCE ANALYSIS OF THE SINCCOLLOCATION METHOD FORINTEGRO-DIFFERENTIAL EQUATIONS SYSTEM

In this paper, a numerical solution for a system of linear Fredholm integro-differential equations by means of the sincmethod is considered. This approximation reduces the system ofintegro-differential equations to an explicit system of algebraic equations. The exponential convergence rate O(e−kpN) of the methodis proved. The analytical results are illustrated with numerical examples that exhibit the exponential convergence rate.

Keywords:

Fredholm integro-differential , System of equation , Sincfunction , Convergence