A Taylor collocation method for the approximate solution of general linear Fredholm–Volterra integro-difference equations with mixed argument

摘要

In this paper, a Taylor collocation method is developed to find an approximate solution of high-order linear Fredholm–Volterra integro-difference equations with variable coefficients under the mixed conditions. The solution is obtained in terms of Taylor polynomial near any point. Also, examples are presented which illustrate the partinent features of the method and the results are discussed.