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Numerical Solution of Freholm-Volterra Integral Equations by Using Scaling Function Interpolation Method
(Articles)
Yousef Al-Jarrah
,
En-Bing Lin
Applied Mathematics
Vol.4 No.1A
,January 30, 2013
DOI:
10.4236/am.2013.41A031
5,278
Downloads
9,282
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
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
83
Downloads
358
Views
Citations
Numerical Solution of the Fredholme-Volterra Integral Equation by the Sinc Function
(Articles)
Ali Salimi Shamloo
,
Sanam Shahkar
,
Alieh Madadi
American Journal of Computational Mathematics
Vol.2 No.2
,June 22, 2012
DOI:
10.4236/ajcm.2012.22019
4,680
Downloads
9,803
Views
Citations
Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind
(Articles)
Lian Chen
,
Junsheng Duan
Advances in Pure Mathematics
Vol.5 No.11
,September 7, 2015
DOI:
10.4236/apm.2015.511061
4,569
Downloads
6,506
Views
Citations
This article belongs to the Special Issue on
Integral Equations Research
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
3,401
Downloads
4,910
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
1,946
Downloads
4,133
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
70
Downloads
313
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
6,173
Downloads
12,164
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
7,144
Downloads
15,123
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
4,368
Downloads
9,363
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
4,101
Downloads
7,152
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
5,057
Downloads
6,516
Views
Citations
Numerical Consideration of Chen-Lee-Liu Equation through Modification Method for Various Types of Solitons
(Articles)
A. S. H. F. Mohammed
,
O. H. Bakodah
American Journal of Computational Mathematics
Vol.10 No.3
,July 24, 2020
DOI:
10.4236/ajcm.2020.103021
463
Downloads
1,388
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
583
Downloads
3,787
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
141
Downloads
825
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
104
Downloads
556
Views
Citations
The Numerical Solutions of Systems of Nonlinear Integral Equations with the Spline Functions
(Articles)
Xiaoyan Liu
,
Yurong Pan
Journal of Applied Mathematics and Physics
Vol.8 No.3
,March 12, 2020
DOI:
10.4236/jamp.2020.83037
558
Downloads
1,521
Views
Citations
This article belongs to the Special Issue on
Differential Dynamical Systems
Solving high-order nonlinear Volterra-Fredholm integro-differential equations by differential transform method
(Articles)
Salah H. Behiry
,
Saied I. Mohamed
Natural Science
Vol.4 No.8
,August 29, 2012
DOI:
10.4236/ns.2012.48077
7,389
Downloads
13,988
Views
Citations
Solving the Linear Oscillatory Problem without Damping with Random Loading Condition Using the Decomposition Method
(Articles)
Amnah S. Al-Juhani
,
Aleh A. Al-Shammari
Journal of Applied Mathematics and Physics
Vol.7 No.3
,March 13, 2019
DOI:
10.4236/jamp.2019.73038
607
Downloads
1,109
Views
Citations
Double Elzaki Transform Decomposition Method for Solving Third Order Korteweg-De-Vries Equations
(Articles)
Moh A. Hassan
,
Tarig M. Elzaki
Journal of Applied Mathematics and Physics
Vol.9 No.1
,January 6, 2021
DOI:
10.4236/jamp.2021.91003
348
Downloads
1,164
Views
Citations
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