Numerical solution of a nonlinear functional integro-differential equation
Numerical Analysis
2021-11-29 v1 Numerical Analysis
Abstract
In this paper, we consider a boundary value problem (BVP) for a fourth order nonlinear functional integro-differential equation. We establish the existence and uniqueness of solution and construct a numerical method for solving it. We prove that the method is of second order accuracy and obtain an estimate for the total error. Some examples demonstrate the validity of the obtained theoretical results and the efficiency of the numerical method.
Keywords
Cite
@article{arxiv.2111.12826,
title = {Numerical solution of a nonlinear functional integro-differential equation},
author = {Dang Quang A and Pham Huy Dien and Dang Quang Long},
journal= {arXiv preprint arXiv:2111.12826},
year = {2021}
}
Comments
19 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:2012.11351