Multistep collocation methods for integral-algebraic equations with non-vanishing delays

P. Darania and S. Pishbin

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 205, issue C, 33-61

Abstract: In this article, we study the piecewise multistep collocation method for a class of functional integral equations with non-vanishing delays. Based on the notions of the tractability index and the ν-smoothing property of a Volterra integral operator, our numerical analysis and optimal convergence properties are investigated. Here, multistep collocation method which depends on the numerical solution in a fixed number of previous time steps is described by the constructive technique and dividing the definition domain into several subintervals according to the primary discontinuous points associated with the delay function. Numerical experiments confirm the theoretical expectations.

Keywords: Integral-algebraic equations with non-vanishing delays; υ-smoothing Volterra operator; Tractability index; Multistep collocation methods; Error analysis (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:205:y:2023:i:c:p:33-61

DOI: 10.1016/j.matcom.2022.08.018

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