چکیده (انگلیسی):

In this study, a practical matrix method is presented to find an approximate solution of high-order linear Fredholm integro-differential equations with constant coefficients under the initial-boundary conditions interms of Taylor polynomials. The method converts the integro-differential equationto a matrix equation, which corresponds to a system of linear algebraic equations. Error analys is and illustrative examples are included to demonstrate the validity and applic ability of the technique.