Adomian Decomposition Method; Volterra Integral Equations - Articles

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 5,924 Downloads 11,267 Views Citations
On Solving a System of Volterra Integral Equations with Relaxed Monte Carlo Method (Articles)

Zhimin Hong, Xiangzhong Fang, Zaizai Yan, Hui Hao

Journal of Applied Mathematics and Physics Vol.4 No.7，July 25, 2016

DOI: 10.4236/jamp.2016.47140 1,625 Downloads 2,977 Views Citations
Numerical Treatment of Initial-Boundary Value Problems with Mixed Boundary Conditions (Articles)

Nawal Abdullah Alzaid, Huda Omar Bakodah

American Journal of Computational Mathematics Vol.8 No.2，June 28, 2018

DOI: 10.4236/ajcm.2018.82012 1,525 Downloads 3,407 Views Citations
A New Approach for a Class of Optimal Control Problems of Volterra Integral Equations (Articles)

Mohammad Hadi Noori Skandari, Hamid Reza Erfanian, Ali Vahidian Kamyad

Intelligent Control and Automation Vol.2 No.2，June 3, 2011

DOI: 10.4236/ica.2011.22014 5,915 Downloads 9,683 Views Citations
Cubic Spline Approximation for Weakly Singular Integral Models (Articles)

Franca Caliò, Elena Marchetti

Applied Mathematics Vol.4 No.11，November 5, 2013

DOI: 10.4236/am.2013.411211 3,657 Downloads 5,563 Views Citations
Theoretical Analysis of Mass Transfer with Chemical Reaction Using Absorption of Carbon Dioxide into Phenyl Glycidyl Ether Solution (Articles)

Muthukaruppan Subramaniam, Indira Krishnaperumal, Rajendran Lakshmanan

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

DOI: 10.4236/am.2012.310172 4,790 Downloads 7,583 Views Citations
Analytical Expressions of Concentration of VOC and Oxygen in Steady-State in Biofilteration Model (Articles)

Mayakkannan Sivasankari, Lakshmanan Rajendran

Applied Mathematics Vol.4 No.2，February 27, 2013

DOI: 10.4236/am.2013.42048 4,133 Downloads 6,855 Views Citations
Numerical Solutions of Three-Dimensional Coupled Burgers’ Equations by Using Some Numerical Methods (Articles)

Fatheah Ahmad Alhendi, Aisha Abdullah Alderremy

Journal of Applied Mathematics and Physics Vol.4 No.11，November 14, 2016

DOI: 10.4236/jamp.2016.411201 2,421 Downloads 5,350 Views Citations
Double Elzaki Transform Decomposition Method for Solving Non-Linear Partial Differential Equations (Articles)

Moh A. Hassan, Tarig M. Elzaki

Journal of Applied Mathematics and Physics Vol.8 No.8，August 7, 2020

DOI: 10.4236/jamp.2020.88112 504 Downloads 2,063 Views Citations
Analytical Solution of Nonlinear System of Fractional Differential Equations (Articles)

Eman Ali Ahmed Ziada

Journal of Applied Mathematics and Physics Vol.9 No.10，October 28, 2021

DOI: 10.4236/jamp.2021.910164 449 Downloads 1,744 Views Citations
This article belongs to the Special Issue on Nonlinear Differential Equations
On the Application of Adomian Decomposition Method to Special Equations in Physical Sciences (Articles)

Aishah Alsulami, Mariam Al-Mazmumy, Huda Bakodah, Nawal Alzaid

American Journal of Computational Mathematics Vol.13 No.3，September 8, 2023

DOI: 10.4236/ajcm.2023.133022 161 Downloads 631 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 5,833 Downloads 7,858 Views Citations
On Discrete Adomian Decomposition Method with Chebyshev Abscissa for Nonlinear Integral Equations of Hammerstein Type (Articles)

H. O. Bakodah, Mohamed Abdalla Darwish

Advances in Pure Mathematics Vol.2 No.5，September 25, 2012

DOI: 10.4236/apm.2012.25042 5,729 Downloads 10,333 Views Citations
A Novel Iterative Method Based on Bernstein-Adomian Polynomials to Solve Non-Linear Differential Equations (Articles)

Afaf Nasser Yousif, Ahmed Farooq Qasim

Open Access Library Journal Vol.7 No.5，April 29, 2020

DOI: 10.4236/oalib.1106267 604 Downloads 1,652 Views Citations
Adomian Decomposition Method for Solving Goursat's Problems (Articles)

Mariam A. Al-Mazmumy

Applied Mathematics Vol.2 No.8，August 8, 2011

DOI: 10.4236/am.2011.28134 6,270 Downloads 12,282 Views Citations
Application of the Modified Adomian Decomposition Method on a Mathematical Model of COVID-19 (Articles)

Justina Mulenga, Patrick Azere Phiri

Journal of Applied Mathematics and Physics Vol.11 No.9，September 19, 2023

DOI: 10.4236/jamp.2023.119169 157 Downloads 571 Views Citations
Numerical Solution of the Fredholme-Volterra Integral Equation by the Sinc Function (Articles)

Ali Salimi Shamloo, Sanam Shahkar, Alieh Madadi

American Journal of Computational Mathematics Vol.2 No.2，June 22, 2012

DOI: 10.4236/ajcm.2012.22019 4,827 Downloads 9,931 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 4,694 Downloads 6,632 Views Citations
This article belongs to the Special Issue on Integral Equations Research
An Efficient Decomposition Method for Solving Bratu’s Boundary Value Problem (Articles)

Mariam Al-Mazmumy, Ahlam Al-Mutairi, Kholoud Al-Zahrani

American Journal of Computational Mathematics Vol.7 No.1，March 31, 2017

DOI: 10.4236/ajcm.2017.71007 2,038 Downloads 4,339 Views Citations
Analytical Solution of Two Extended Model Equations for Shallow Water Waves By Adomian’S Decomposition Method (Articles)

Mehdi. Safari

Advances in Pure Mathematics Vol.1 No.4，July 28, 2011

DOI: 10.4236/apm.2011.14042 6,320 Downloads 12,239 Views Citations

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