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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
4,109
Downloads
6,856
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
5,934
Downloads
9,978
Views
Citations
Adomian Decomposition Approach to the Solution of the Burger’s Equation
(Articles)
Iyakino P. Akpan
American Journal of Computational Mathematics
Vol.5 No.3
,September 9, 2015
DOI:
10.4236/ajcm.2015.53030
5,078
Downloads
6,272
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
1,312
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
528
Downloads
2,565
Views
Citations
The Adomian Decomposition Method for Solving Nonlinear Partial Differential Equation Using Maple
(Articles)
Dalal Adnan Maturi
,
Honaida Mohammed Malaikah
Advances in Pure Mathematics
Vol.11 No.6
,June 28, 2021
DOI:
10.4236/apm.2021.116038
613
Downloads
3,620
Views
Citations
The Natural Transform Decomposition Method for Solving Fractional Klein-Gordon Equation
(Articles)
Mohamed Elbadri
Applied Mathematics
Vol.14 No.3
,March 31, 2023
DOI:
10.4236/am.2023.143014
148
Downloads
768
Views
Citations
Adomian Decomposition Method for Solving Time Fractional Burgers Equation Using Maple
(Articles)
Fayza Alwehebi
,
Aatef Hobiny
,
Dalal Maturi
Applied Mathematics
Vol.14 No.5
,May 31, 2023
DOI:
10.4236/am.2023.145020
113
Downloads
541
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
8,380
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
1,655
Downloads
3,500
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
3,082
Views
Citations
Application of He’s Variational Iteration Method and Adomian Decomposition Method to Solution for the Fifth Order Caudrey-Dodd-Gibbon (CDG) Equation
(Articles)
Mehdi Safari
Applied Mathematics
Vol.2 No.8
,August 3, 2011
DOI:
10.4236/am.2011.28131
6,490
Downloads
11,948
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
5,132
Downloads
8,374
Views
Citations
Application of He’s Variational Iterative Method for Solving Thin Film Flow Problem Arising in Non-Newtonian Fluid Mechanics
(Articles)
Abdul M. Siddiqui
,
Ali A. Farooq
,
Tahira Haroon
,
Muhammad A. Rana
,
Bruce S. Babcock
World Journal of Mechanics
Vol.2 No.3
,June 20, 2012
DOI:
10.4236/wjm.2012.23016
5,091
Downloads
8,763
Views
Citations
Analytical Expressions for Steady-State Concentrations of Substrate and Product in an Amperometric Biosensor with the Substrate Inhibition—The Adomian Decomposition Method
(Articles)
Anandan Anitha
,
Shunmugham Loghambal
,
Lakshmanan Rajendran
American Journal of Analytical Chemistry
Vol.3 No.8
,August 27, 2012
DOI:
10.4236/ajac.2012.38066
3,652
Downloads
6,590
Views
Citations
Theoretical Analysis of Mass Transfer with Chemical Reaction Using Absorption of Carbon Dioxide into Phenyl Glycidyl Ether Solution
(Articles)
Muthukaruppan Subramaniam
,
Indira Krishnaperumal
,
Rajendran Lakshmanan
Applied Mathematics
Vol.3 No.10
,October 12, 2012
DOI:
10.4236/am.2012.310172
4,653
Downloads
7,250
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
7,477
Views
Citations
Convergence of Discrete Adomian Method for Solving a Class of Nonlinear Fredholm Integral Equations
(Articles)
Ibrahim Lotfy Hassan Alkalla
,
Reda Abdo Abd-Elmonem
,
Ayman Mohamed Ali Ahmed Gomaa
Applied Mathematics
Vol.4 No.1A
,January 30, 2013
DOI:
10.4236/am.2013.41A033
5,135
Downloads
8,476
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
Analytical Expressions of Concentration of VOC and Oxygen in Steady-State in Biofilteration Model
(Articles)
Mayakkannan Sivasankari
,
Lakshmanan Rajendran
Applied Mathematics
Vol.4 No.2
,February 27, 2013
DOI:
10.4236/am.2013.42048
4,012
Downloads
6,573
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
8,250
Views
Citations
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