Singular Integral Equations; Cauchy Kernel; Chebyshev Polynomials; Weight Functions - Articles

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 6,648 Downloads 9,225 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 6,574 Downloads 8,235 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 198 Downloads 818 Views Citations
Convergence Phenomenon with Fourier Series of $t g (\frac{x}{2})$ and Alike (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.14 No.7，July 29, 2024

DOI: 10.4236/apm.2024.147032 79 Downloads 374 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 3,503 Downloads 5,665 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 586 Downloads 2,827 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 161 Downloads 751 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 234 Downloads 1,264 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 146 Downloads 691 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 5,971 Downloads 11,129 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 734 Downloads 1,958 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 6,159 Downloads 11,503 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 1,736 Downloads 3,134 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 2,627 Downloads 3,763 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 2,322 Downloads 3,570 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 730 Downloads 2,779 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 594 Downloads 1,522 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 5,450 Downloads 9,980 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 255 Downloads 1,898 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 4,815 Downloads 6,306 Views Citations

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