Numerical Method For Solving High-order Linear Systems Of Fredholm Integro-differential Equations With Delay

In this paper, a numerical matrix method, which is based on collocation points, is presented for the approximate solution of the systems of high-order linear Fred-holm integro-differential equations with delay under the mixed conditions in terms of the Bessel polynomials.High-order linear Fredhohn integro-differential equations with variable coefficients are usually difficult to solve analytically.In that case, it is required to obtain the approximate solutions.People had approximated the ex-act solution of high-order linear Fredholm integro-differential equations by Bessel method and transformed the equations and the given conditions into the matrix equations.The paper extends this method for searching the numerical solutions of the systems of high-order linear Fredholm integro-differential equations with de-lay. Numerical examples are included to demonstrate the validity and the applicabil-ity of the proposed method. All of the numerical computations have been performed on a PC using some programs written in MATLAB v7.6.0(R2008a).