Adomian Decomposition Method - Articles - Scientific Research Publishing

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 10,021 Downloads 20,677 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 5,503 Downloads 9,993 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 3,876 Downloads 6,080 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 736 Downloads 2,290 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 382 Downloads 1,106 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 5,503 Downloads 9,507 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 581 Downloads 1,061 Views Citations
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 6,031 Downloads 7,851 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 1,816 Downloads 3,588 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 1,189 Downloads 1,849 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 5,973 Downloads 11,685 Views Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mehdi Safari, Mohammad Danesh

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

DOI: 10.4236/apm.2011.16062 6,915 Downloads 14,480 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 5,781 Downloads 9,320 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 4,177 Downloads 8,813 Views Citations
This article belongs to the Special Issue on Differential Equations and Dynamic Systems
Mathematical modelling of a biofilm: The Adomian decomposition method (Articles)

Subramanian Muthukaruppan, Alagu Eswari, Lakshmanan Rajendran

Natural Science Vol.5 No.4，April 19, 2013

DOI: 10.4236/ns.2013.54059 3,865 Downloads 6,550 Views Citations
The Adomian Decomposition Method for Solving Volterra-Fredholm Integral Equation Using Maple (Articles)

Hunida M. Malaikah

Applied Mathematics Vol.11 No.8，August 27, 2020

DOI: 10.4236/am.2020.118052 331 Downloads 1,536 Views Citations
The Adomian Decomposition Method for Solving Nonlinear Partial Differential Equation Using Maple (Articles)

Dalal Adnan Maturi, Honaida Mohammed Malaikah

Advances in Pure Mathematics Vol.11 No.6，June 28, 2021

DOI: 10.4236/apm.2021.116038 316 Downloads 1,910 Views Citations
Higher-Order Numeric Solutions for Nonlinear Systems Based on the Modified Decomposition Method (Articles)

Junsheng Duan

Journal of Applied Mathematics and Physics Vol.2 No.1，January 9, 2014

DOI: 10.4236/jamp.2014.21001 3,647 Downloads 5,273 Views Citations
Adomian Decomposition Method with Green’s Function for Solving Tenth-Order Boundary Value Problems (Articles)

Waleed Al-Hayani

Applied Mathematics Vol.5 No.10，June 3, 2014

DOI: 10.4236/am.2014.510136 3,297 Downloads 4,559 Views Citations
Some of Semi Analytical Methods for Blasius Problem (Articles)

Seval Catal

Applied Mathematics Vol.3 No.7，June 19, 2012

DOI: 10.4236/am.2012.37106 4,718 Downloads 8,064 Views Citations

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