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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
5,125
Downloads
8,635
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
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
519
Downloads
2,703
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
4,105
Downloads
6,700
Views
Citations
Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel
(Articles)
Fatheah Ahmed Hendi
,
Manal Mohamed Al-Qarni
American Journal of Computational Mathematics
Vol.6 No.2
,June 30, 2016
DOI:
10.4236/ajcm.2016.62019
2,250
Downloads
3,494
Views
Citations
Runge-Kutta Method and Bolck by Block Method to Solve Nonlinear Fredholm-Volterra Integral Equation with Continuous Kernel
(Articles)
A. M. Al-Bugami
,
J. G. Al-Juaid
Journal of Applied Mathematics and Physics
Vol.8 No.9
,September 30, 2020
DOI:
10.4236/jamp.2020.89152
585
Downloads
1,852
Views
Citations
Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM)
(Articles)
Maryam Al-Mazmumy
,
Safa O. Almuhalbedi
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.4
,December 16, 2016
DOI:
10.4236/ijmnta.2016.54022
1,814
Downloads
4,020
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
3,756
Downloads
5,542
Views
Citations
Collocation Method for Nonlinear Volterra-Fredholm Integral Equations
(Articles)
Jafar Ahmadi Shali
,
Parviz Darania
,
Ali Asgar Jodayree Akbarfam
Open Journal of Applied Sciences
Vol.2 No.2
,June 27, 2012
DOI:
10.4236/ojapps.2012.22016
5,637
Downloads
11,234
Views
Citations
Numerical Treatment of Nonlinear Volterra-Fredholm Integral Equation with a Generalized Singular Kernel
(Articles)
Fatheah Ahmed Hendi
,
Manal Mohamed Al-Qarni
American Journal of Computational Mathematics
Vol.6 No.3
,September 14, 2016
DOI:
10.4236/ajcm.2016.63025
1,667
Downloads
3,011
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
1,033
Downloads
3,732
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
4,634
Downloads
7,421
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
1,444
Downloads
3,263
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
113
Downloads
588
Views
Citations
This article belongs to the Special Issue on
Applied Mathematics and Analysis
A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method
(Articles)
Maha S. M. Shehata
American Journal of Computational Mathematics
Vol.5 No.2
,June 26, 2015
DOI:
10.4236/ajcm.2015.52016
5,693
Downloads
7,658
Views
Citations
The Successive Approximation Method for Solving Nonlinear Fredholm Integral Equation of the Second Kind Using Maple
(Articles)
Dalal Adnan Maturi
Advances in Pure Mathematics
Vol.9 No.10
,September 30, 2019
DOI:
10.4236/apm.2019.910040
1,245
Downloads
4,261
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
5,985
Downloads
9,810
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
94
Downloads
489
Views
Citations
Adomian Decomposition Method for Solving Goursat's Problems
(Articles)
Mariam A. Al-Mazmumy
Applied Mathematics
Vol.2 No.8
,August 8, 2011
DOI:
10.4236/am.2011.28134
6,076
Downloads
12,323
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
5,902
Downloads
10,631
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
685
Downloads
1,406
Views
Citations
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