A Domain Decomposition Chebyshev Spectral Collocation Method for Volterra Integral Equations

被引：1

作者：

Wu, Hua ^{[1
]}

Zhu, Yunzhen ^{[1
]}

Wang, Hailu ^{[1
]}

Xu, Lingfang ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

JOURNAL OF MATHEMATICAL STUDY | 2018年 / 51卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Nonlinear Volterra integral equations; domain decomposition method; Chebyshev-collocation spectral method; convergence analysis;

D O I：

10.4208/jms.v51n1.18.04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a domain decomposition Chebyshev spectral collocation method for the second-kind linear and nonlinear Volterra integral equations with smooth kernel functions. The method is easy to implement and possesses high accuracy. In the convergence analysis, we derive the spectral convergence order under the L-infinity-norm without the Chebyshev weight function, and we also show numerical examples which coincide with the theoretical analysis.

引用

页码：57 / 75

页数：19

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