Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations

05/20/2023

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by   Alessia andò, et al.

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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.