Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations
Numerical Analysis
2023-05-23 v1 Numerical Analysis
Abstract
We extend the piecewise orthogonal collocation method to computing periodic solutions of coupled renewal and delay differential equations. Through a rigorous error analysis, we prove convergence of the relevant finite-element method and provide a theoretical estimate of the error. We conclude with some numerical experiments to further support the theoretical results.
Cite
@article{arxiv.2305.12186,
title = {Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations},
author = {Alessia andò and Dimitri Breda},
journal= {arXiv preprint arXiv:2305.12186},
year = {2023}
}
Comments
32 pages, 6 figures, to appear in Appl. Numer. Math. arXiv admin note: substantial text overlap with arXiv:2105.09199