A Chebyshev Spectral Collocation Method for Nonlinear Volterra Integral Equations with Vanishing Delays

被引：5

作者：

Wang, Zhong-Qing ^{[1
]}

Sheng, Chang-Tao ^{[2
]}

Jia, Hong-Li ^{[3
]}

Li, Dao ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China

[3] Donghua Univ, Dept Math, Shanghai 200063, Peoples R China

来源：

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2018年 / 8卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Multistep Chebyshev-Gauss-Lobatto spectral collocation method; nonlinear Volterra integral equation; vanishing variable delay; FUNCTIONAL-DIFFERENTIAL EQUATIONS; INITIAL-VALUE PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; NUMERICAL-ANALYSIS; SUPERCONVERGENCE; MESHES;

D O I：

10.4208/eajam.130416.071217a

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A multistep Chebyshev-Gauss-Lobatto spectral collocation method for nonlinear Volterra integral equations with vanishing delays is developed. The convergence of the hp-version of the method in supremum norm is proved. Numerical experiments show the efficiency of the method for equations with highly oscillating, steep gradient and non-smooth solutions.

引用

页码：233 / 260

页数：28

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