The approximate solution of high-order linear Volterra–Fredholm integro-differential equations in terms of Taylor polynomials

摘要

In the present paper, a Taylor method is developed to find the approximate solution of high-order linear Volterra–Fredholm integro-differential equations under the mixed conditions in terms of Taylor polynomials about any point. In addition, examples that illustrate the pertinent features of the method are presented, and the results of study are discussed.