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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
10,526
Downloads
20,978
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
100
Downloads
471
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
91
Downloads
332
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
6,009
Downloads
9,718
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
3,763
Downloads
5,475
Views
Citations
Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan-Rach-Wazwaz Modified Adomian Decomposition Method
(Articles)
Ömür Umut
,
Serpil Yaşar
Int'l J. of Modern Nonlinear Theory and Application
Vol.8 No.1
,February 1, 2019
DOI:
10.4236/ijmnta.2019.81002
1,658
Downloads
3,504
Views
Citations
Numerical Treatment of Initial-Boundary Value Problems with Mixed Boundary Conditions
(Articles)
Nawal Abdullah Alzaid
,
Huda Omar Bakodah
American Journal of Computational Mathematics
Vol.8 No.2
,June 28, 2018
DOI:
10.4236/ajcm.2018.82012
1,452
Downloads
3,087
Views
Citations
Approximate analytical solution of non-linear reaction diffusion equation in fluidized bed biofilm reactor
(Articles)
Seetharaman Usha
,
Shanmugarajan Anitha
,
Lakshmanan Rajendran
Natural Science
Vol.4 No.12
,December 13, 2012
DOI:
10.4236/ns.2012.412127
5,179
Downloads
7,483
Views
Citations
Modified Adomain Decomposition Method for the Generalized Fifth Order KdV Equations
(Articles)
Huda O. Bakodah
American Journal of Computational Mathematics
Vol.3 No.1
,March 27, 2013
DOI:
10.4236/ajcm.2013.31008
4,687
Downloads
8,254
Views
Citations
Non-Darcy Mixed Convection between Differentially Heated Vertical Walls Filled with a Porous Material: Application of New Modified Adomian Decomposition Method
(Articles)
A. K. Tiwari
,
Premlata Singh
Open Journal of Fluid Dynamics
Vol.5 No.4
,December 30, 2015
DOI:
10.4236/ojfd.2015.54037
4,446
Downloads
5,247
Views
Citations
The Approximate Analytical Solution of Non-Linear Equation for Simultaneous Internal Mass and Heat Diffusion Effects
(Articles)
Mayathevar Renugadevi
,
Saminathan Sevukaperumal
,
Lakshmanan Rajendran
Natural Science
Vol.8 No.6
,June 29, 2016
DOI:
10.4236/ns.2016.86033
2,019
Downloads
3,196
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
5,656
Downloads
10,101
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
4,115
Downloads
6,229
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
1,052
Downloads
3,283
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
517
Downloads
1,380
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
124
Downloads
544
Views
Citations
This article belongs to the Special Issue on
Applied Mathematics and Analysis
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
5,945
Downloads
10,005
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
690
Downloads
1,314
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
6,411
Downloads
8,389
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
1,958
Downloads
4,012
Views
Citations
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