Variational Iteration Method; Singular Integral Equation; Abel’s Kernel - Articles

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 6,160 Downloads 11,616 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 2,434 Downloads 3,962 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 1,834 Downloads 3,482 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 6,707 Downloads 8,610 Views Citations
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mehdi Safari

Applied Mathematics Vol.2 No.9, September 19, 2011

DOI: 10.4236/am.2011.29150 6,839 Downloads 12,436 Views Citations
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method (Articles)

Mehdi Safari, Majid Safari

American Journal of Computational Mathematics Vol.1 No.4, December 9, 2011

DOI: 10.4236/ajcm.2011.14027 7,112 Downloads 11,816 Views Citations
Variational Iteration Method for Solving Time Fractional Burgers Equation Using Maple (Articles)

Fayza Alwehebi, Aatef Hobiny, Dalal Maturi

Applied Mathematics Vol.14 No.5, May 31, 2023

DOI: 10.4236/am.2023.145021 316 Downloads 1,548 Views Citations
Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems (Articles)

Bothayna S. Kashkari, Sharefah Saleh

Applied Mathematics Vol.8 No.7, July 4, 2017

DOI: 10.4236/am.2017.87070 1,556 Downloads 3,533 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 229 Downloads 1,036 Views Citations
Research on Chaos of Nonlinear Singular Integral Equation (Articles)

Yannan Liu, Yu Wang

Journal of Applied Mathematics and Physics Vol.11 No.4, April 28, 2023

DOI: 10.4236/jamp.2023.114075 208 Downloads 771 Views Citations
Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind (Articles)

Lian Chen, Junsheng Duan

Advances in Pure Mathematics Vol.5 No.11, September 7, 2015

DOI: 10.4236/apm.2015.511061 4,841 Downloads 7,170 Views Citations
This article belongs to the Special Issue on Integral Equations Research
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 647 Downloads 1,877 Views Citations
This article belongs to the Special Issue on Numerical Simulation and Its Applications
A Comparative Study of Variational Iteration Method and He-Laplace Method (Articles)

Hradyesh Kumar Mishra

Applied Mathematics Vol.3 No.10, October 12, 2012

DOI: 10.4236/am.2012.310174 7,644 Downloads 14,046 Views Citations
Variational Iteration Method for Solving Boussinesq Equations Using Maple (Articles)

Ameera Aljuhani, Dalal Maturi, Hashim Alshehri

Applied Mathematics Vol.13 No.12, December 30, 2022

DOI: 10.4236/am.2022.1312060 280 Downloads 1,412 Views Citations
A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method (Articles)

Maha S. M. Shehata

American Journal of Computational Mathematics Vol.5 No.2, June 26, 2015

DOI: 10.4236/ajcm.2015.52016 5,990 Downloads 8,468 Views Citations
Operator Equation and Application of Variation Iterative Method (Articles)

Ning Chen, Jiqian Chen

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38127 5,360 Downloads 8,448 Views Citations
Some Approximation in Cone Metric Space and Variational Iterative Method (Articles)

Ning Chen, Jiqian Chen

Applied Mathematics Vol.3 No.12, December 26, 2012

DOI: 10.4236/am.2012.312276 7,733 Downloads 10,443 Views Citations
The Radiation System Synthesis by the Power Criterion as a Problem of Optimization with Restrictions (Articles)

Mykhaylo I. Andriychuk, Bohdan M. Podlevskyi

Journal of Applied Mathematics and Physics Vol.6 No.12, December 27, 2018

DOI: 10.4236/jamp.2018.612220 563 Downloads 1,307 Views Citations
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 6,804 Downloads 9,811 Views Citations
Analytical and Approximate Solutions to the Fee Vibration of Strongly Nonlinear Oscillators (Articles)

Taher A. Nofal, Gamal M. Ismail, Amal Ali M. Mady, Sayed Abdel-Khalek

Journal of Electromagnetic Analysis and Applications Vol.5 No.10, October 29, 2013

DOI: 10.4236/jemaa.2013.510061 3,972 Downloads 6,469 Views Citations

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