An hp-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels

被引：6

作者：

Jia, Hongli ^{[1
]}

Yang, Yang ^{[2
]}

Wang, Zhongqing ^{[3
]}

机构：

[1] Donghua Univ, Coll Sci, Shanghai 200063, Peoples R China

[2] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

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

来源：

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2019年 / 12卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Chebyshev spectral collocation method; nonlinear Volterra integro-differential equations; weakly singular kernels; error analysis; DISCONTINUOUS GALERKIN METHOD; FINITE-ELEMENT-METHOD; RUNGE-KUTTA METHODS; INTEGRAL-EQUATIONS; P VERSION; SMOOTH;

D O I：

10.4208/nmtma.OA-2018-0104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents an hp-version Chebyshev spectral collocation method for nonlinear Volterra integro-differential equations with weakly singular kernels. The hp-version error bound of the collocation method under the H-1-norm is established on an arbitrary mesh. Numerical experiments demonstrate the effectiveness of the proposed method.

引用

页码：969 / 994

页数：26

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