Numerical solution of two-dimensional first kind Fredholm integral equations by using linear Legendre wavelet

被引：7

作者：

Tahami, M. ^{[1
]}

Hemmat, A. Askari ^{[2
,4
]}

Yousefi, S. A. ^{[3
]}

机构：

[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran

[2] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Appl Math, Kerman, Iran

[3] Shahid Beheshti Univ, Dept Math, GC, Tehran, Iran

[4] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2016年 / 14卷 / 01期

关键词：

Fredholm integral equation; Legendre wavelet basis; ill condition system;

D O I：

10.1142/S0219691316500041

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In one-dimensional problems, the Legendre wavelets are good candidates for approximation. In this paper, we present a numerical method for solving two-dimensional first kind Fredholm integral equation. The method is based upon two-dimensional linear Legendre wavelet basis approximation. By applying tensor product of one-dimensional linear Legendre wavelet we construct a two-dimensional wavelet. Finally, we give some numerical examples.

引用

页数：20

共 50 条

[21] On the numerical solution of two-dimensional integral equations using a meshless local discrete Galerkin scheme with error analysis
Assari, Pouria
ENGINEERING WITH COMPUTERS, 2019, 35 (03) : 893 - 916
[22] On the numerical solution of two-dimensional integral equations using a meshless local discrete Galerkin scheme with error analysis
Pouria Assari
Engineering with Computers, 2019, 35 : 893 - 916
[23] LINEAR LEGENDRE MULTI-WAVELETS METHODS FOR SOLVING SYSTEMS OF FREDHOLM INTEGRAL EQUATIONS
Najafi, H. Saberi
Aminikhah, H.
Edalatpanah, S. A.
MATHEMATICAL REPORTS, 2016, 18 (01):
[24] Numerical solution of fredholm integral equations with diagonal and boundary singularities
Pedas, Arvet
Vainikko, Gennadi
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2007, 936 : 405 - +
[25] Two-dimensional transport equation as Fredholm integral equation
Kadem, Abdelouahab
Baleanu, Dumitru
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (02) : 530 - 535
[26] Using orthonormal wavelet basis in Petrov-Galerkin method for solving Fredholm integral equations of the second kind
Rabbani, Mohsen
Maleknejad, Khosrow
KYBERNETES, 2012, 41 (3-4) : 465 - 481
[27] LP modelling for the two dimensional nonlinear Fredholm integral equations
Nazemi, A. R.
SCIENTIA IRANICA, 2015, 22 (01) : 165 - 174
[28] The reverse interpolation and its application in the numerical solutions of Fredholm integral equations of the second kind
Seyyed Mahmood Mirzaei
Majid Amirfakhrian
Computational and Applied Mathematics, 2019, 38
[29] The reverse interpolation and its application in the numerical solutions of Fredholm integral equations of the second kind
Mirzaei, Seyyed Mahmood
Amirfakhrian, Majid
COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (04)
[30] Improved Iterative Solution of Linear Fredholm Integral Equations of Second Kind via Inverse-Free Iterative Schemes
Manuel Gutierrez, Jose
Angel Hernandez-Veron, Miguel
Martinez, Eulalia
MATHEMATICS, 2020, 8 (10) : 1 - 13

← 1 2 3 4 5 →