Taylor series method for the system of linear Volterra integro-differential equations

A method to determine the numerical solution of system of linear Volterra integro-differential equations (IDEs) is proposed. The method obtains Taylor expansion for the exact solution of system of linear Volterra IDEs at initial point x = 0. In addition, we introduce a procedure to obtain an approximation for Taylor expansion of the exact solution at x ? = 0. Moreover, error estimation of the proposed methods is presented. The ef?ciency and applicability of the presented methods is illustrated by some numerical examples.