采用逐次逼近法求解非线性Volterra延迟积分方程

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-05-29 DOI:10.1016/j.amc.2025.129547

Hasan Behroozi , Manochehr Kazemi , Reza Ezzati

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引用次数: 0

摘要

本研究引入了一种新的数值迭代方法，该方法利用正交公式和逐次逼近来求解第二类Hammerstein Volterra型非线性时滞积分方程。证明了该方法的收敛性和数值稳定性。此外，通过数值应用验证了理论结果和方法的准确性。对这个积分方程的研究是重要的，因为它包含了流行病学中使用的数学模型的一个变体。

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

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.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.