具有弱奇异核的延迟 Volterra 积分方程配位解的收敛性分析

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2024-10-24 DOI:10.1016/j.amc.2024.129122

P. Peyrovan , A. Tari , H. Brunner

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引用次数: 0

摘要

对于连续片断多项式空间（PPS）中具有弱奇异内核（WSKs）的第二类伏特拉积分方程（VIEs），在一定的配位参数条件下，其配位解的收敛性分析已经建立。本文研究了具有 WSK 和消失延迟的延迟 Volterra 积分方程 (DVIE) 的类比收敛分析。我们还研究了解的存在性、唯一性和正则性。最后，我们给出了一些数值示例来证实理论结果。

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Convergence analysis of collocation solutions for delay Volterra integral equations with weakly singular kernels

Convergence analysis of the collocation solutions for second-kind Volterra integral equations (VIEs) with weakly singular kernels (WSKs) in continuous piecewise polynomial space (PPS) under certain conditions on the collocation parameters has been established previously. In this paper, we study the analogue convergence analysis for delay Volterra integral equations (DVIEs) with WSKs and vanishing delay. We also investigate the existence, uniqueness and regularity of solution. Finally, we present some illustrative numerical examples to confirm the theoretical results.

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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.