A computational method for solving a boundary value problem for impulsive integro-differential equation

In this paper, we are interested in finding a numerical solution of linear BVP for Fredholm IDE with degenerate kernel subjected to impulsive actions. By Dzumabaev’s parametrization method the original problem is reduced multipoint system IDEs additional parameters. For fixed parameters, special Cauchy FIDEs on subintervals obtained and by using problem, algebraic equations parameters constructed. An algorithm solving its computational implementation developed. algorithm, problems ODEs calculation definite integrals main auxiliary problems. various methods these problems, proposed can be implemented different ways. The program codes were written solve all calculations performed Matlab 2018 software platform.