ON CLENSHAW-CURTIS SPECTRAL COLLOCATION METHOD FOR VOLTERRA INTEGRAL EQUATIONS

被引：0

作者：

Huang, Chaolan ^{[1
]}

Fang, Chunhua ^{[1
]}

Wang, Jianyu ^{[1
]}

Wan, Zhengsu ^{[1
]}

机构：

[1] Hunan Inst Sci & Technol, Coll Math, Yueyang 414006, Hunan, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2022年 / 40卷 / 5-6期

基金：

美国国家科学基金会;

关键词：

Clenshaw-Curtis spectral collocation method; second kind Volterra integral equations; convergence analysis; CONVERGENCE; SCATTERING; QUADRATURE;

D O I：

10.14317/jami.2022.983

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to solve the second kind Volterra integral equations by Clenshaw-Curtis spectral collocation method. First of all, we can transform the integral interval from [-1, x] to [-1, 1] through a simple linear transformation, and discretize the integral term in the equation by Clenshaw-Curtis quadrature formula to obtain the collocation equations. Then we provide a rigorous error analysis for the proposed method. At last, several numerical example are used to verify the results of theoretical analysis.

引用

页码：983 / 993

页数：11

共 50 条

[1] ITERATIVE SOLUTION OF VOLTERRA INTEGRAL-EQUATIONS USING CLENSHAW-CURTIS QUADRATURE
EVANS, GA
HYSLOP, J
MORGAN, APG
JOURNAL OF COMPUTATIONAL PHYSICS, 1981, 40 (01) : 64 - 76
[2] Implementing the complex integral method with the transformed Clenshaw-Curtis quadrature
Ma, Junjie
APPLIED MATHEMATICS AND COMPUTATION, 2015, 250 : 792 - 797
[3] Generalized Clenshaw-Curtis quadrature rule with application to a collocation least-squares method
Kim, Changho
Kim, Sang Dong
Yoon, Jungho
APPLIED MATHEMATICS AND COMPUTATION, 2007, 190 (01) : 781 - 789
[4] CLENSHAW-CURTIS QUADRATURE - REMARK
GOOD, AJ
COMMUNICATIONS OF THE ACM, 1973, 16 (08) : 490 - 490
[5] Nontensorial Clenshaw-Curtis cubature
Sommariva, Alvise
Vianello, Marco
Zanovello, Renato
NUMERICAL ALGORITHMS, 2008, 49 (1-4) : 409 - 427
[6] Chebyshev spectral-collocation method for Volterra integral equations
Cu, Zhendong
Chen, Yanping
RECENT ADVANCES IN SCIENTIFIC COMPUTING AND APPLICATIONS, 2013, 586 : 163 - +
[7] Piecewise spectral collocation method for system of Volterra integral equations
Gu, Zhendong
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2017, 43 (02) : 385 - 409
[8] DOUBLY-ADAPTIVE CLENSHAW-CURTIS QUADRATURE METHOD
OLIVER, J
COMPUTER JOURNAL, 1972, 15 (02): : 141 - &
[9] Piecewise spectral collocation method for system of Volterra integral equations
Zhendong Gu
Advances in Computational Mathematics, 2017, 43 : 385 - 409
[10] Stochastic Discrete Clenshaw-Curtis Quadrature
Piatkowski, Nico
Morik, Katharina
INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 48, 2016, 48

← 1 2 3 4 5 →