Adomian Polynomials; Modified Decomposition Method; Adomian-Rach Theorem; Nonlinear Differential Equations; Numeric Solution - Articles

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 3,805 Downloads 5,602 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 131 Downloads 640 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 4,699 Downloads 7,418 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 1,482 Downloads 3,257 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 1,682 Downloads 3,664 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 553 Downloads 1,523 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 1,856 Downloads 4,025 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 6,040 Downloads 10,350 Views Citations
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 5,764 Downloads 7,689 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 110 Downloads 483 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 694 Downloads 4,153 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 6,494 Downloads 8,699 Views Citations
Restarted Adomian Decomposition Method for Solving Volterra’s Population Model (Articles)

Mariam Al-Mazmumy, Safa Otyuan Almuhalbedi

American Journal of Computational Mathematics Vol.7 No.2，June 23, 2017

DOI: 10.4236/ajcm.2017.72016 1,309 Downloads 2,192 Views Citations
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 10,626 Downloads 21,262 Views Citations
Numeric Solution of the Fokker-Planck-Kolmogorov Equation (Articles)

Claudio Floris

Engineering Vol.5 No.12，November 26, 2013

DOI: 10.4236/eng.2013.512119 7,446 Downloads 11,878 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 4,740 Downloads 8,449 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 2,068 Downloads 3,340 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 5,169 Downloads 8,622 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Double Elzaki Transform Decomposition Method for Solving Non-Linear Partial Differential Equations (Articles)

Moh A. Hassan, Tarig M. Elzaki

Journal of Applied Mathematics and Physics Vol.8 No.8，August 7, 2020

DOI: 10.4236/jamp.2020.88112 439 Downloads 1,866 Views Citations
Analytical Solution of Nonlinear System of Fractional Differential Equations (Articles)

Eman Ali Ahmed Ziada

Journal of Applied Mathematics and Physics Vol.9 No.10，October 28, 2021

DOI: 10.4236/jamp.2021.910164 368 Downloads 1,503 Views Citations
This article belongs to the Special Issue on Nonlinear Differential Equations

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