Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel

被引：1
|
作者：
Xiang, Shuhuang [1 ]
Zhang, Qingyang [2 ]
机构：
[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
[2] Shandong Univ Finance & Econ, Dept Stat & Math, Jinan 250014, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 456卷
关键词：
Asymptotic analysis; Fredholm integral equation; Weak singularity; Highly oscillatory kernel; Contraction mapping principle; CLENSHAW-CURTIS RULES; HIGH-FREQUENCY; SCATTERING;
D O I：
10.1016/j.amc.2023.128112
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on the asymptotic behaviors of the solutions to the second-kind Fred -holm integral equations with a highly oscillatory and weakly singular kernel. We employ van der Corput lemmas, resolvents of the Volterra integral equations, and the contraction mapping principle to analyse these behaviors. Numerical results are provided to show how the singularity and oscillatory parameters affect the solution. (c) 2023 Elsevier Inc. All rights reserved.
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