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Chebyshev Polynomials for Solving a Class of Singular Integral Equations
(Articles)
Samah M. Dardery
,
Mohamed M. Allan
Applied Mathematics
Vol.5 No.4
,March 18, 2014
DOI:
10.4236/am.2014.54072
6,526
Downloads
8,703
Views
Citations
Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel
(Articles)
Fatheah Ahmed Hendi
,
Manal Mohamed Al-Qarni
Applied Mathematics
Vol.8 No.2
,February 28, 2017
DOI:
10.4236/am.2017.82017
6,474
Downloads
7,949
Views
Citations
Lucas Symbolic Formulae and Generating Functions for Chebyshev Polynomials
(Articles)
Do Tan Si
Journal of High Energy Physics, Gravitation and Cosmology
Vol.7 No.3
,June 25, 2021
DOI:
10.4236/jhepgc.2021.73052
156
Downloads
600
Views
Citations
Numerical Solutions of Volterra Equations Using Galerkin Method with Certain Orthogonal Polynomials
(Articles)
James E. Mamadu
,
Ignatius N. Njoseh
Journal of Applied Mathematics and Physics
Vol.4 No.2
,February 26, 2016
DOI:
10.4236/jamp.2016.42044
3,402
Downloads
5,303
Views
Citations
Collocation Technique for Numerical Solution of Integral Equations with Certain Orthogonal Basis Function in Interval [0, 1]
(Articles)
O. L. Babasola
,
I. Irakoze
Open Access Library Journal
Vol.4 No.12
,December 15, 2017
DOI:
10.4236/oalib.1104050
514
Downloads
2,259
Views
Citations
Applications of Analytic Continuation to Tables of Integral Transforms and Some Integral Equations with Hyper-Singular Kernels
(Articles)
Alexander G. Ramm
Open Journal of Optimization
Vol.11 No.1
,March 30, 2022
DOI:
10.4236/ojop.2022.111001
94
Downloads
497
Views
Citations
Duality between Bessel Functions and Chebyshev Polynomials in Expansions of Functions
(Articles)
Alfred Wünsche
Advances in Pure Mathematics
Vol.13 No.8
,August 30, 2023
DOI:
10.4236/apm.2023.138034
133
Downloads
603
Views
Citations
On the Numerical Solution of Singular Integral Equation with Degenerate Kernel Using Laguerre Polynomials
(Articles)
Khadeejah Sultan Alroogy
,
Musa Adam Aigo
American Journal of Computational Mathematics
Vol.13 No.1
,March 23, 2023
DOI:
10.4236/ajcm.2023.131007
80
Downloads
418
Views
Citations
Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
(Articles)
R. N. Prajapati
,
Rakesh Mohan
,
Pankaj Kumar
American Journal of Computational Mathematics
Vol.2 No.4
,December 25, 2012
DOI:
10.4236/ajcm.2012.24042
5,821
Downloads
10,674
Views
Citations
The Numerical Solutions of Systems of Nonlinear Integral Equations with the Spline Functions
(Articles)
Xiaoyan Liu
,
Yurong Pan
Journal of Applied Mathematics and Physics
Vol.8 No.3
,March 12, 2020
DOI:
10.4236/jamp.2020.83037
583
Downloads
1,385
Views
Citations
This article belongs to the Special Issue on
Differential Dynamical Systems
Approximate Solution of the Singular-Perturbation Problem on Chebyshev-Gauss Grid
(Articles)
Mustafa GÜLSU
,
Yalçn ÖZTÜRK
American Journal of Computational Mathematics
Vol.1 No.4
,December 9, 2011
DOI:
10.4236/ajcm.2011.14024
6,012
Downloads
11,159
Views
Citations
Numerical Treatment of Nonlinear Volterra-Fredholm Integral Equation with a Generalized Singular Kernel
(Articles)
Fatheah Ahmed Hendi
,
Manal Mohamed Al-Qarni
American Journal of Computational Mathematics
Vol.6 No.3
,September 14, 2016
DOI:
10.4236/ajcm.2016.63025
1,674
Downloads
2,915
Views
Citations
Solving Systems of Volterra Integral Equations with Cardinal Splines
(Articles)
Xiaoyan Liu
,
Zhi Liu
,
Jin Xie
Journal of Applied Mathematics and Physics
Vol.3 No.11
,November 23, 2015
DOI:
10.4236/jamp.2015.311170
2,534
Downloads
3,412
Views
Citations
Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel
(Articles)
Fatheah Ahmed Hendi
,
Manal Mohamed Al-Qarni
American Journal of Computational Mathematics
Vol.6 No.2
,June 30, 2016
DOI:
10.4236/ajcm.2016.62019
2,257
Downloads
3,362
Views
Citations
Chebyshev Polynomials with Applications to Two-Dimensional Operators
(Articles)
Alfred Wünsche
Advances in Pure Mathematics
Vol.9 No.12
,December 24, 2019
DOI:
10.4236/apm.2019.912050
587
Downloads
2,245
Views
Citations
Approach to Riemann Hypothesis by Combined Commensurable Step Function Approximation with Bonnet Method
(Articles)
Alfred Wünsche
Advances in Pure Mathematics
Vol.10 No.5
,May 6, 2020
DOI:
10.4236/apm.2020.105013
503
Downloads
1,236
Views
Citations
Numerical Solution of Integro-Differential Equations with Local Polynomial Regression
(Articles)
Liyun Su
,
Tianshun Yan
,
Yanyong Zhao
,
Fenglan Li
,
Ruihua Liu
Open Journal of Statistics
Vol.2 No.3
,July 6, 2012
DOI:
10.4236/ojs.2012.23043
5,280
Downloads
9,555
Views
Citations
Power and Chebyshev Series Transformation Formulas with Applications to Solving Ordinary Differential Equations via the Fröbenius and Taylor’s Methods
(Articles)
Hippolyte Nyengeri
,
Rénovat Nizigiyimana
,
Jean-Pierre Mutankana
,
Henry Bayaga
,
Ferdinand Bayubahe
Open Access Library Journal
Vol.8 No.2
,February 26, 2021
DOI:
10.4236/oalib.1107142
186
Downloads
1,418
Views
Citations
Some Properties of a Kind of Singular Integral Operator with Weierstrass Function Kernel
(Articles)
Lixia Cao
Applied Mathematics
Vol.4 No.8
,August 7, 2013
DOI:
10.4236/am.2013.48166
4,733
Downloads
6,071
Views
Citations
Boundedness of Hyper-Singular Parametric Marcinkiewicz Integrals with Variable Kernels
(Articles)
Qiquan Fang
,
Xianliang Shi
Applied Mathematics
Vol.4 No.11C
,October 29, 2013
DOI:
10.4236/am.2013.411A3005
2,528
Downloads
4,038
Views
Citations
This article belongs to the Special Issue on
Harmonic Analysis and Wavelets
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