Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations
arXiv:2305.12186 · doi:10.1016/j.apnum.2023.05.010
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.
arXiv comment32 pages, 6 figures, to appear in Appl. Numer. Math. arXiv admin note: substantial text overlap with arXiv:2105.09199
References in corpus (3)
- Convergence analysis of collocation methods for computing periodic solutions of retarded functional differential equations
- Spectra of evolution operators of a class of neutral renewal equations: theoretical and numerical aspects
- Piecewise orthogonal collocation for computing periodic solutions of renewal equations