Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations

被引：32

作者：

Das, Payel ^{[1
]}

Nelakanti, Gnaneshwar ^{[1
]}

Long, Guangqing ^{[2
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

[2] GuangXi Teachers Educ Univ, Dept Math, Nanning 530001, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 278卷

关键词：

Hammerstein integral equations; Spectral method; Discrete Galerkin; Discrete collocation; Numerical quadrature; Convergence rates; COLLOCATION-TYPE METHOD; GALERKIN METHOD; SUPERCONVERGENCE;

D O I：

10.1016/j.cam.2014.10.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the discrete Legendre Galerkin and discrete Legendre collocation methods for Fredholm-Hammerstein integral equations with smooth kernel. Using sufficiently accurate numerical quadrature rule, we obtain optimal convergence rates for both discrete Legendre Galerkin and discrete Legendre collocation solutions in both infinity and L-2-norm. Numerical examples are given to illustrate the theoretical results. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：293 / 305

页数：13

共 29 条

[1]

[Anonymous], 2006, SCI COMPUTATION

[2]

[Anonymous], 2001, Applied Mathematics (Boca Raton)

[3]

[Anonymous], THESIS IIT KHARAGPUR

[4] THE DISCRETE COLLOCATION METHOD FOR NONLINEAR INTEGRAL-EQUATIONS [J].

ATKINSON, K ;

FLORES, J .

IMA JOURNAL OF NUMERICAL ANALYSIS, 1993, 13 (02) :195-213

[5]

ATKINSON K, 1987, MATH COMPUT, V48, P595, DOI 10.1090/S0025-5718-1987-0878693-6

[6]

Atkinson K.E., 1988, J. Integral Equ. Appl., V1, P17

[7]

ATKINSON K.E., 1992, J. Integral Equ. Appl., V4, P15, DOI [10.1216/jiea/1181075664, DOI 10.1216/JIEA/1181075664]

[8]

Chen Z., 2007, J INTEGRAL EQU APPL, V19, P143

[9] Legendre spectral projection methods for Urysohn integral equations [J].

Das, Payel ;

Sahani, Mitali Madhumita ;

Nelakanti, Gnaneshwar .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 263 :88-102

[10] Optimal convergence rates for some discrete projection methods [J].

Golberg, M ;

Bowman, H .

APPLIED MATHEMATICS AND COMPUTATION, 1998, 96 (2-3) :237-271

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