Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations

被引：31

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 50 条

[31] A rationalized Haar functions method for nonlinear Fredholm-Hammerstein integral equations
Razzaghi, M
Ordokhani, Y
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2002, 79 (03) : 333 - 343
[32] Convergence analysis of discrete legendre spectral projection methods for hammerstein integral equations of mixed type (vol 265, pg 574, 2015)
Das, Payel
Nelakanti, Gnaneshwar
APPLIED MATHEMATICS AND COMPUTATION, 2016, 281 : 394 - 395
[33] Iterative Numerical Methods for a Fredholm-Hammerstein Integral Equation with Modified Argument
Micula, Sanda
SYMMETRY-BASEL, 2023, 15 (01):
[34] Convergence Analysis of Legendre Spectral Galerkin Method for Volterra-Fredholm-Hammerstein Integral Equations
Das, Payel
Nelakanti, Gnaneshwar
MATHEMATICAL ANALYSIS AND ITS APPLICATIONS, 2015, 143 : 3 - 15
[35] Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets
Lakestani, M
Razzaghi, M
Dehghan, M
MATHEMATICAL PROBLEMS IN ENGINEERING, 2005, (01) : 113 - 121
[36] Superconvergent multi-Galerkin method for nonlinear Fredholm-Hammerstein integral equations
Chakraborty, Samiran
Agrawal, Shivam Kumar
Nelakanti, Gnaneshwar
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 426
[37] On a numerical method based on wavelets for Fredholm-Hammerstein integral equations of the second kind
Micula, Sanda
Cattani, Carlo
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (18) : 9103 - 9115
[38] Discrete projection methods for Hammerstein integral equations on the half-line
Nahid, Nilofar
Nelakanti, Gnaneshwar
CALCOLO, 2020, 57 (04)
[39] Discrete projection methods for Hammerstein integral equations on the half-line
Nilofar Nahid
Gnaneshwar Nelakanti
Calcolo, 2020, 57
[40] Modified Galerkin Method for Derivative Dependent Fredholm-Hammerstein Integral Equations of Second Kind
Kant, Kapil
Das, Payel
Nelakanti, Gnaneshwar
Kumar, Ratish
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2024, 16 (04) : 905 - 926

← 1 2 3 4 5 →