Numerical approach for solving neutral differential equation with deviating argument

In this article, numerical solution of a neutral differential equation with deviating argument by means of the Sinc scheme and fixed point theorem is considered. Properties of the DE-Sinc and SE-Sinc quadratures are utilized to reduce the computation of the neutral differential equations to an iterative technique. Then convergence of this technique is discussed by preparing a theorem. To guarantee the analytical results and show the efficiency and accuracy of the present method, some examples are presented.