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Affiliation
ISSN
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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
10,537
Downloads
21,015
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
5,660
Downloads
10,121
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
4,123
Downloads
6,265
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
1,062
Downloads
3,338
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
526
Downloads
1,408
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
132
Downloads
576
Views
Citations
This article belongs to the Special Issue on
Applied Mathematics and Analysis
Adomian Decomposition Method for Solving Fractional Time-Klein-Gordon Equations Using Maple
(Articles)
Dalal Albogami
,
Dalal Maturi
,
Hashim Alshehri
Applied Mathematics
Vol.14 No.6
,June 6, 2023
DOI:
10.4236/am.2023.146024
206
Downloads
774
Views
Citations
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
104
Downloads
499
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
93
Downloads
347
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
3,773
Downloads
5,501
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
3,412
Downloads
4,844
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
1,961
Downloads
4,039
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
1,295
Downloads
2,112
Views
Citations
An Efficient
Maple
Program for Calculating Adomian Polynomials
(Articles)
Mariam Al-Mazmumy
American Journal of Computational Mathematics
Vol.13 No.4
,November 3, 2023
DOI:
10.4236/ajcm.2023.134028
82
Downloads
335
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
6,200
Downloads
11,977
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
7,172
Downloads
14,894
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
6,013
Downloads
9,749
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
4,402
Downloads
9,251
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
4,117
Downloads
6,887
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
5,960
Downloads
10,054
Views
Citations
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