Adomian Decomposition Method; Initial Value Problem; Modified Adomian Decomposition Method - Articles

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 10,915 Downloads 22,286 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 1,685 Downloads 4,004 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

International Journal of Modern Nonlinear Theory and Application Vol.8 No.1, February 1, 2019

DOI: 10.4236/ijmnta.2019.81002 1,906 Downloads 4,403 Views Citations
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 4,341 Downloads 7,656 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 2,145 Downloads 4,936 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 289 Downloads 1,326 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 237 Downloads 895 Views Citations
On the Application of Adomian Decomposition Method to Special Equations in Physical Sciences (Articles)

Aishah Alsulami, Mariam Al-Mazmumy, Huda Bakodah, Nawal Alzaid

American Journal of Computational Mathematics Vol.13 No.3, September 8, 2023

DOI: 10.4236/ajcm.2023.133022 249 Downloads 1,008 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 5,319 Downloads 9,518 Views Citations
Efficient Decomposition Shooting Method for Solving Third-Order Boundary Value Problems (Articles)

Nawal Al-Zaid, Kholoud Alzahrani, Huda Bakodah, Mariam Al-Mazmumy

International Journal of Modern Nonlinear Theory and Application Vol.12 No.3, September 14, 2023

DOI: 10.4236/ijmnta.2023.123006 297 Downloads 1,207 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 6,275 Downloads 10,494 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 4,038 Downloads 6,152 Views Citations
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 3,588 Downloads 5,572 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 5,851 Downloads 10,755 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 4,395 Downloads 7,154 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 1,503 Downloads 5,183 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 711 Downloads 2,068 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 290 Downloads 1,307 Views Citations
This article belongs to the Special Issue on Applied Mathematics and Analysis
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 5,508 Downloads 9,413 Views Citations
Reduced Differential Transform Method for Solving Linear and Nonlinear Goursat Problem (Articles)

Sharaf Mohmoud, Mohamed Gubara

Applied Mathematics Vol.7 No.10, June 15, 2016

DOI: 10.4236/am.2016.710092 2,197 Downloads 4,917 Views Citations

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