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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
10,532
Downloads
21,002
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
102
Downloads
484
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
334
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
6,011
Downloads
9,729
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
3,765
Downloads
5,482
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
1,660
Downloads
3,522
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
1,454
Downloads
3,101
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
7,486
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
4,695
Downloads
8,274
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
5,251
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
2,022
Downloads
3,204
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
5,657
Downloads
10,107
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
4,116
Downloads
6,234
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
1,055
Downloads
3,302
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
523
Downloads
1,393
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
125
Downloads
555
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
5,946
Downloads
10,017
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
692
Downloads
1,318
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
6,418
Downloads
8,408
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
1,960
Downloads
4,023
Views
Citations
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