Convergence analysis for delay Volterra integral equation  

作　　者：ZHENG Wei-shan 

机构地区：[1]College of Mathematics and Statistics,Hanshan Normal University,Chaozhou 521041,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2022年第2期306-316,共11页高校应用数学学报（英文版）（B辑）

基　　金：Supported by Guangdong Provincial Education Projects(2021KTSCX071,HSGDJG21356-372);Project of Hanshan Normal University(521036).

摘　　要：In this article we use Chebyshev spectral collocation method to deal with the Volterra integral equation which has two kinds of delay items. We use linear transformation to make the interval into a fixed interval [-1, 1]. Then we use the Gauss quadrature formula to approximate the solution. With the help of lemmas, we get the result that the numerical error decay exponentially in the infinity norm and the Chebyshev weighted Hilbert space norm. Some numerical experiments are given to confirm our theoretical prediction.

关 键 词：Chebyshev spectral collocation method DELAY Gauss quadrature formula convergence analysis 

分 类 号：O175.5[理学—数学]