Averaged Nyström interpolants for the solution of Fredholm integral equations of the second kind

被引：5

作者：

Fermo, Luisa ^{[1
]}

Reichel, Lothar ^{[2
]}

Rodriguez, Giuseppe ^{[1
]}

Spalevic, Miodrag M. ^{[3
]}

机构：

[1] Univ Cagliari, Dept Math & Comp Sci, Via Osped 72, I-09124 Cagliari, Italy

[2] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[3] Univ Belgrade, Fac Mech Engn, Dept Math, Kraljice Marije 16, Belgrade 11120, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 467卷

关键词：

Fredholm integral equations of the second kind; Gauss quadrature rule; Averaged quadrature rule; Nystrom method; QUADRATURE-FORMULAS; NUMERICAL TREATMENT; NYSTROM METHOD; SYSTEMS;

D O I：

10.1016/j.amc.2023.128482

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fredholm integral equations of the second kind that are defined on a finite or infinite interval arise in many applications. This paper discusses Nystrom methods based on Gauss quadrature rules for the solution of such integral equations. It is important to be able to estimate the error in the computed solution, because this allows the choice of an appropriate number of nodes in the Gauss quadrature rule used. This paper explores the application of averaged and weighted averaged Gauss quadrature rules for this purpose and introduces new stability properties of them.

引用

页数：20

共 50 条

[41] A simplification to Fredholm's solution to the Fredholm's integral equation of the second kind
Hollands, K. G. Terry
APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) : 1078 - 1086
[42] Maplet for Linear Fredholm Integral Equations of Second Kind (FIESK)
Muslu, Isa
Boukar, Moussa Mahamat
2013 7TH INTERNATIONAL CONFERENCE ON APPLICATION OF INFORMATION AND COMMUNICATION TECHNOLOGIES (AICT), 2013, : 141 - 144
[43] Application of Chebyshev Polynomials of the Second Kind to the Numerical Solution of Weakly Singular Fredholm Integral Equations of the First Kind
Shoukralla, E.S.
IAENG International Journal of Applied Mathematics, 2021, 51 (01):
[44] The approximate solution of linear fuzzy Fredholm integral equations of the second kind by using iterative interpolation
Parandin, N.
Fariborzi Araghi, M.A.
World Academy of Science, Engineering and Technology, 2009, 33 : 1022 - 1028
[45] Multistage Integral Mean Value Method for the Fredholm Integral Equations of the Second Kind
Molabahrami, Ahmad
Niasadegh, Sakineh
THAI JOURNAL OF MATHEMATICS, 2020, 18 (02): : 751 - 763
[46] Note on the integral mean value method for Fredholm integral equations of the second kind
Zhong, Xian-Ci
APPLIED MATHEMATICAL MODELLING, 2013, 37 (18-19) : 8645 - 8650
[47] On the numerical solution of weakly singular Fredholm integral equations of the second kind using Legendre wavelets
Adibi, Hojatollah
Assari, Pouria
JOURNAL OF VIBRATION AND CONTROL, 2011, 17 (05) : 689 - 698
[48] Numerical Solution of Volterra and Fredholm Integral Equations of the Second Kind by Using Variational Iteration Method
Saleh, M. H.
Amer, S. M.
Ahmed, M. H.
LIFE SCIENCE JOURNAL-ACTA ZHENGZHOU UNIVERSITY OVERSEAS EDITION, 2012, 9 (04): : 5452 - 5456
[49] Numerical Solution of Two-Dimensional Fredholm-Volterra Integral Equations of the Second Kind
Micula, Sanda
SYMMETRY-BASEL, 2021, 13 (08):
[50] On approximation and numerical solution of Fredholm integral equations of second kind using quasi-interpolation
Mueller, Frank
Varnhorn, Werner
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (13) : 6409 - 6416

← 1 2 3 4 5 →