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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 9,094 Downloads 18,552 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 5,154 Downloads 9,247 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 3,401 Downloads 5,068 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 253 Downloads 546 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 150 Downloads 395 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 4,889 Downloads 7,946 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 381 Downloads 528 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 5,376 Downloads 6,414 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 1,591 Downloads 2,548 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 984 Downloads 1,392 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 5,724 Downloads 11,118 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 6,614 Downloads 13,701 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 5,532 Downloads 8,861 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 3,962 Downloads 8,216 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 3,530 Downloads 5,833 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 103 Downloads 278 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 3,500 Downloads 4,974 Views Citations
Adomian Decomposition Method with Green’s Function for Solving Tenth-Order Boundary Value Problems (Articles)
Applied Mathematics Vol.5 No.10,June 3, 2014
DOI: 10.4236/am.2014.510136 3,115 Downloads 4,096 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 4,308 Downloads 7,219 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 1,727 Downloads 2,751 Views Citations