Численное решение краевых задач для нагруженных дифференциальных и интегро-дифференциальных уравнений фредгольма

Abstract

The article presents a computational method to solve boundary value problems for the loaded differential and Fredholm integro-differential equations. Solving a problem for the loaded differential and Fredholm integro-differential equations is reduced to solving a system of linear algebraic equations in rela-tion to the additional parameters introduced.  A numerical method for finding a solution of the problem is suggested, which is based on solving the constructed system and the Bulirsch-Stoer method for solving Cau-chy problems on the subintervals. The result is illustrated by example.