ON CLENSHAW-CURTIS SPECTRAL COLLOCATION METHOD FOR VOLTERRA INTEGRAL EQUATIONS

被引：0
|
作者：
Huang, Chaolan [1 ]
Fang, Chunhua [1 ]
Wang, Jianyu [1 ]
Wan, Zhengsu [1 ]
机构：
[1] Hunan Inst Sci & Technol, Coll Math, Yueyang 414006, Hunan, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2022年 / 40卷 / 5-6期
基金：
美国国家科学基金会;
关键词：
Clenshaw-Curtis spectral collocation method; second kind Volterra integral equations; convergence analysis; CONVERGENCE; SCATTERING; QUADRATURE;
D O I：
10.14317/jami.2022.983
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to solve the second kind Volterra integral equations by Clenshaw-Curtis spectral collocation method. First of all, we can transform the integral interval from [-1, x] to [-1, 1] through a simple linear transformation, and discretize the integral term in the equation by Clenshaw-Curtis quadrature formula to obtain the collocation equations. Then we provide a rigorous error analysis for the proposed method. At last, several numerical example are used to verify the results of theoretical analysis.
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页码：983 / 993
页数：11
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