Sinc approximation of solution of integro-differential equation

Many mathematical models of complex processes may be posed as integro-differential equations. Different numerical methods have been proposed and developed in recent years, such as quadrature method, collocation method, Galerkin method, expansion method and product-integration method. The application of the Sinc-Galerkin method to an approximate solution of integro-differential equations were discussed in this study. The method is based on approximating functions and their derivatives by using the Whittaker cardinal function in order to determine the approximate solutions. Without any numerical integration, the partial differential equation transformed to an algebraic equation system. For the numerical calculations, Maple is used and the results determined from the method are compared with the exact solutions. The results are illustrated both in table and graphically to show the rapid convergence and exceptional accuracy of the method.