Novel approach for solving multipoint boundary value problem for integro-differential equation
Numerical Analysis
2023-09-28 v1 Numerical Analysis
Abstract
In the present paper, we study a multipoint boundary value problem for a system of Fredholm integro-differenial equations by the method of parameterization. The case of a degenerate kernel is studied separately, for which we obtain well-posedness conditions and propose some algorithms to find approximate and numerical solutions to the problem. Then we establish necessary and sufficient conditions for the well-posedness of the multipoint problem for the system of Fredholm integro-differential equations and develop some algorithms for finding its approximate solutions. These algorithms are based on the solutions of an approximating problem for the system of integro-differential equations with degenerate kernel.
Cite
@article{arxiv.2309.15805,
title = {Novel approach for solving multipoint boundary value problem for integro-differential equation},
author = {Anar Assanova and Elmira Bakirova and Roza Uteshova},
journal= {arXiv preprint arXiv:2309.15805},
year = {2023}
}