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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
9,146
Downloads
18,642
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
5,166
Downloads
9,272
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
3,418
Downloads
5,091
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
264
Downloads
601
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
170
Downloads
435
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
4,924
Downloads
8,005
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
393
Downloads
549
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
5,422
Downloads
6,500
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
1,606
Downloads
2,598
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
995
Downloads
1,415
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
5,731
Downloads
11,131
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
6,632
Downloads
13,726
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
5,545
Downloads
8,879
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
3,969
Downloads
8,234
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
3,550
Downloads
5,852
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
121
Downloads
319
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
3,512
Downloads
4,991
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
3,129
Downloads
4,116
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
4,324
Downloads
7,241
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
1,744
Downloads
2,812
Views
Citations
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