Numerical solution of the linear Fredholm-Volterra Integro-Differential equations by the Tau method with an error

The Tau method, produces approximate polynomial solutions of differential, integral and integro-differential equations. in this paper extension of the Tau method has been done for the numerical solution of the general form of linear Fredholm-Volterra Integro-Differential equations. An efficient error estimation for the Tau method is also introduced. Details of the method are presented and some numerical results along with estimated errors are given to clarify the method and its error estimator. keywords:Tau method; Fredholm and Volterra integral and Integro-Differential equations 1