Adomian Decomposition Method ADM - Articles - Scientific Research Publishing

The Adomian Decomposition Method and the Differential Transform Method for Numerical Solution of Multi-Pantograph Delay Differential Equations (Articles)

Musa Cakir, Derya Arslan

Applied Mathematics Vol.6 No.8，July 27, 2015

DOI: 10.4236/am.2015.68126 6,586 Downloads 8,922 Views Citations
Reduced Differential Transform Method for Solving Linear and Nonlinear Goursat Problem (Articles)

Sharaf Mohmoud, Mohamed Gubara

Applied Mathematics Vol.7 No.10，June 15, 2016

DOI: 10.4236/am.2016.710092 2,067 Downloads 4,333 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 1,724 Downloads 3,078 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 5,827 Downloads 7,838 Views Citations
Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations (Articles)

M. Almazmumy, F. A. Hendi, H. O. Bakodah, H. Alzumi

American Journal of Computational Mathematics Vol.2 No.3，September 28, 2012

DOI: 10.4236/ajcm.2012.23030 10,710 Downloads 21,471 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 5,724 Downloads 10,321 Views Citations
Modified Adomian Techniques Applied to Non-Linear Volterra Integral Equations (Articles)

Haifa H. Ali, Fawzi Abdelwahid

Open Journal of Applied Sciences Vol.3 No.2，June 20, 2013

DOI: 10.4236/ojapps.2013.32027 4,228 Downloads 6,574 Views Citations
The Adomian Decomposition Method for a Type of Fractional Differential Equations (Articles)

Peng Guo

Journal of Applied Mathematics and Physics Vol.7 No.10，October 24, 2019

DOI: 10.4236/jamp.2019.710166 1,236 Downloads 4,121 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 600 Downloads 1,635 Views Citations
Adomian Decomposition Method for Solving Boussinesq Equations Using Maple (Articles)

Ameera Aljuhani, Dalal Maturi, Hashim Alshehri

Applied Mathematics Vol.14 No.2，February 23, 2023

DOI: 10.4236/am.2023.142007 210 Downloads 860 Views Citations
This article belongs to the Special Issue on Applied Mathematics and Analysis
Solving Different Types of Differential Equations Using Modified and New Modified Adomian Decomposition Methods (Articles)

Justina Mulenga, Patrick Azere Phiri

Journal of Applied Mathematics and Physics Vol.11 No.6，June 29, 2023

DOI: 10.4236/jamp.2023.116108 175 Downloads 787 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 150 Downloads 552 Views Citations
Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method (Articles)

Waleed Al-Hayani

Applied Mathematics Vol.4 No.6，June 3, 2013

DOI: 10.4236/am.2013.46121 6,132 Downloads 10,584 Views Citations
Comparative Study of the Adomian Decomposition Method and Alternating Direction Implicit (ADI) for the Resolution of the Problems of Advection-Diffusion-Reaction (Articles)

André Bitsindou, Joseph Bonazebi-Yindoula, Gabriel Bissanga

Journal of Applied Mathematics and Physics Vol.6 No.9，September 30, 2018

DOI: 10.4236/jamp.2018.69165 744 Downloads 1,480 Views Citations
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 2,034 Downloads 4,320 Views Citations
Restarted Adomian Decomposition Method for Solving Volterra’s Population Model (Articles)

Mariam Al-Mazmumy, Safa Otyuan Almuhalbedi

American Journal of Computational Mathematics Vol.7 No.2，June 23, 2017

DOI: 10.4236/ajcm.2017.72016 1,347 Downloads 2,311 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 6,316 Downloads 12,220 Views Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mohammad Danesh, Mehdi Safari

Advances in Pure Mathematics Vol.1 No.6，November 24, 2011

DOI: 10.4236/apm.2011.16062 7,296 Downloads 15,169 Views Citations
The Appearance of Noise Terms in Modified Adomian Decomposition Method for Quadratic Integral Equations (Articles)

Huda Omar Bakodah

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

DOI: 10.4236/ajcm.2012.22017 6,088 Downloads 9,965 Views Citations
Numerical Solutions of the Regularized Long-Wave (RLW) Equation Using New Modification of Laplace-Decomposition Method (Articles)

Nawal A. Al-Zaid, Huda O. Bakodah, Fathiah A. Hendi

Advances in Pure Mathematics Vol.3 No.1A，January 30, 2013

DOI: 10.4236/apm.2013.31A022 4,500 Downloads 9,525 Views Citations
This article belongs to the Special Issue on Differential Equations and Dynamic Systems

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