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   9,094 Downloads  18,552 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   5,154 Downloads  9,247 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   3,401 Downloads  5,068 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   253 Downloads  546 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   150 Downloads  395 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   4,889 Downloads  7,946 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   381 Downloads  528 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   5,376 Downloads  6,414 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   1,591 Downloads  2,548 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   984 Downloads  1,392 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   5,724 Downloads  11,118 Views  Citations

Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mehdi Safari, Mohammad Danesh

Advances in Pure Mathematics Vol.1 No.6，November 24, 2011

DOI: 10.4236/apm.2011.16062   6,614 Downloads  13,701 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   5,532 Downloads  8,861 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   3,962 Downloads  8,216 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   3,530 Downloads  5,833 Views  Citations

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   103 Downloads  278 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   3,500 Downloads  4,974 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   3,115 Downloads  4,096 Views  Citations

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   4,308 Downloads  7,219 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   1,727 Downloads  2,751 Views  Citations