Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

被引：5
|
作者：
Zheng, Weishan [1 ]
Chen, Yanping [2 ]
Huang, Yunqing [3 ]
机构：
[1] Hanshan Normal Univ, Coll Math & Stat, Chaozhou 521041, Guangdong, Peoples R China
[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[3] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2019年 / 11卷 / 02期
基金：
美国国家科学基金会;
关键词：
Convergence analysis; Legendre-spectral method; second order Volterra integro-differential equation; delay; error analysis; DIFFERENTIAL EQUATIONS;
D O I：
10.4208/aamm.OA-2018-0121
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a Legendre-collocation spectral method is developed for the second order Volterra integro-differential equation with delay. We provide a rigorous error analysis for the proposed method. The spectral rate of convergence for the proposed method is established in both L-2-norm and L-infinity-norm. In the end numerical experiment is illustrated to confirm the theoretical analysis.
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页码：486 / 500
页数：15
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