Modified Adomian Decomposition Method - Articles - Scientific Research Publishing

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 10,967 Downloads 22,393 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 335 Downloads 1,409 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 266 Downloads 945 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 6,313 Downloads 10,561 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 4,099 Downloads 6,240 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 1,965 Downloads 4,513 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 1,722 Downloads 4,080 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 5,473 Downloads 8,330 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 5,050 Downloads 9,286 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 4,637 Downloads 5,910 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 2,293 Downloads 3,975 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 5,897 Downloads 10,822 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 4,444 Downloads 7,245 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 1,548 Downloads 5,297 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 717 Downloads 2,100 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 314 Downloads 1,360 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 6,387 Downloads 11,450 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 911 Downloads 1,990 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 6,805 Downloads 9,678 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 2,159 Downloads 5,004 Views Citations

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