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Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations (2305.12186v1)
Published 20 May 2023 in math.NA and cs.NA
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.