Successive approximations method is used to solve nonlinear Volterra delay integral equations

Hasan Behroozi, Manochehr Kazemi and Reza Ezzati

Applied Mathematics and Computation, 2025, vol. 507, issue C

Abstract: The current research introduces a new numerical iterative method that uses a quadrature formula and successive approximations to solve certain types of equations called nonlinear delay integral equations as Hammerstein Volterra type of the second kind. The convergence analysis and numerical stability of the method are also demonstrated. Additionally, by providing the numerical applications, we show to validate the theoretical results and showcase the method's accuracy. The investigation of this integral equation is significant as it encompasses a variant of a mathematical model used in epidemiology.

Keywords: Iterative method; Volterra delay integral equations; Quadrature formula; Successive approximations (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:507:y:2025:i:c:s0096300325002735

DOI: 10.1016/j.amc.2025.129547

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