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

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 2,625 Downloads 4,287 Views Citations
This article belongs to the Special Issue on Harmonic Analysis and Wavelets
Chebyshev Biorthogonal Multiwavelets and Approximation (Articles)

Xiaolin Zhou, Qun Lin

Journal of Applied Mathematics and Physics Vol.9 No.2，February 7, 2021

DOI: 10.4236/jamp.2021.92017 333 Downloads 1,031 Views Citations
This article belongs to the Special Issue on Numerical Simulation and Its Applications
Solution of Some Integral Equations Involving Confluent k-Hypergeometric Functions (Articles)

Shahid Mubeen

Applied Mathematics Vol.4 No.7A，July 5, 2013

DOI: 10.4236/am.2013.47A003 4,322 Downloads 7,065 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
A New Weight Initialization Method Using Cauchy’s Inequality Based on Sensitivity Analysis (Articles)

Thangairulappan Kathirvalavakumar, Subramanian Jeyaseeli Subavathi

Journal of Intelligent Learning Systems and Applications Vol.3 No.4，November 29, 2011

DOI: 10.4236/jilsa.2011.34027 4,975 Downloads 9,392 Views Citations
Collocation Method for Nonlinear Volterra-Fredholm Integral Equations (Articles)

Jafar Ahmadi Shali, Parviz Darania, Ali Asgar Jodayree Akbarfam

Open Journal of Applied Sciences Vol.2 No.2，June 27, 2012

DOI: 10.4236/ojapps.2012.22016 5,950 Downloads 11,352 Views Citations
Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations (Articles)

Artion Kashuri, Akli Fundo, Matilda Kreku

Advances in Pure Mathematics Vol.3 No.3，May 8, 2013

DOI: 10.4236/apm.2013.33045 5,526 Downloads 10,940 Views Citations
Simple Method for Evaluating Singular Integrals (Articles)

Nhan T. Tran

American Journal of Computational Mathematics Vol.7 No.4，December 14, 2017

DOI: 10.4236/ajcm.2017.74032 1,279 Downloads 3,641 Views Citations
Performance Evaluation of Various Functions for Kernel Density Estimation (Articles)

Youngsung Soh, Yongsuk Hae, Aamer Mehmood, Raja Hadi Ashraf, Intaek Kim

Open Journal of Applied Sciences Vol.3 No.1B，January 22, 2013

DOI: 10.4236/ojapps.2013.31B012 4,900 Downloads 8,648 Views Citations
Erratum to “Simple Method for Evaluating Singular Integrals” [American Journal of Computational Mathematics, Volume 7, Number 4, December 2017 PP. 444-450] (Articles)

Nhan T. Tran

American Journal of Computational Mathematics Vol.9 No.3，September 27, 2019

DOI: 10.4236/ajcm.2019.93015 919 Downloads 2,262 Views Citations
Singular Hammerstein-Volterra Integral Equation and Its Numerical Processing (Articles)

A. M. Al-Bugami

Journal of Applied Mathematics and Physics Vol.9 No.2，February 26, 2021

DOI: 10.4236/jamp.2021.92026 531 Downloads 1,472 Views Citations
This article belongs to the Special Issue on Numerical Simulation and Its Applications
An Efficient Numerical Method for Calculation of Elastic and Thermo-Elastic Fields in a Homogeneous Medium with Several Heterogeneous Inclusions (Articles)

Sergey Kanaun

World Journal of Mechanics Vol.1 No.2，April 20, 2011

DOI: 10.4236/wjm.2011.12005 6,792 Downloads 12,288 Views Citations
Numerical Solution of Two Dimensional Fredholm Integral Equations of the Second Kind by the Barycentric Lagrange Function* (Articles)

Hongyan Liu, Jin Huang, Yubin Pan

Journal of Applied Mathematics and Physics Vol.5 No.2，February 15, 2017

DOI: 10.4236/jamp.2017.52023 1,457 Downloads 2,913 Views Citations
Numerical Solution of Two-Dimensional Nonlinear Stochastic Itô-Volterra Integral Equations by Applying Block Pulse Functions (Articles)

Guo Jiang, Xiaoyan Sang, Jieheng Wu, Biwen Li

Advances in Pure Mathematics Vol.9 No.2，February 14, 2019

DOI: 10.4236/apm.2019.92004 1,069 Downloads 2,078 Views Citations
Reply to Comment on “On Humbert Matrix Polynomials of Two Variables” (Articles)

Ghazi S. Khammash, Ayman Shehata

Advances in Pure Mathematics Vol.4 No.7，July 29, 2014

DOI: 10.4236/apm.2014.47043 3,162 Downloads 4,000 Views Citations
The Estimation of the Mertens Function (Articles)

Janusz Czopik

Advances in Pure Mathematics Vol.9 No.4，April 29, 2019

DOI: 10.4236/apm.2019.94019 1,157 Downloads 2,110 Views Citations
Application of the Economization of Power Series to Solving the Schrödinger Equation for the Gaussian Potential via the Asymptotic Iteration Method (Articles)

Hippolyte Nyengeri, Benoit Manariyo, Rénovat Nizigiyimana, Salomon Mugisha

Open Access Library Journal Vol.7 No.7，July 23, 2020

DOI: 10.4236/oalib.1106505 1,232 Downloads 1,984 Views Citations
Chebyshev Polynomial-Based Analytic Solution Algorithm with Efficiency, Stability and Sensitivity for Classic Vibrational Constant Coefficient Homogeneous IVPs with Derivative Orders n, n-1, n-2 (Articles)

David P. Stapleton

American Journal of Computational Mathematics Vol.12 No.4，October 19, 2022

DOI: 10.4236/ajcm.2022.124023 154 Downloads 710 Views Citations
On Approximate Solutions of Second-Order Linear Partial Differential Equations (Articles)

Yousry S. Hanna

Applied Mathematics Vol.3 No.9，September 27, 2012

DOI: 10.4236/am.2012.39148 5,630 Downloads 8,968 Views Citations
Factorization of Cyclotomic Polynomials with Quadratic Radicals in the Coefficients (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.7 No.9，September 27, 2017

DOI: 10.4236/apm.2017.79032 1,296 Downloads 3,410 Views Citations
Quadrature Rules for Functions with a Mid-Point Logarithmic Singularity in the Boundary Element Method Based on the x = t^p Substitution (Articles)

Stephen M. Kirkup, Javad Yazdani, George Papazafeiropoulos

American Journal of Computational Mathematics Vol.9 No.4，December 16, 2019

DOI: 10.4236/ajcm.2019.94021 656 Downloads 1,938 Views Citations

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