AN EFFICIENT MATRIX METHOD BASED ON THE BERNOULLI POLYNOMIALS FOR SOLVING SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS

This article develops an efficient direct solver for solving the numerically, system of Volterra-Fredholm integro-differential equations (VFIDEs). The properties of the Bernoulli polynomials together with the standard Galerkin method are then utilized to reduce VFIDEs to the solution of an algebraic system. Numerical results with comparisons are given to confirm the reliability of the proposed method for solving the system of VFIDEs.