Adomian Decomposition Method ADM - Articles - Scientific Research Publishing

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 7,649 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 787 Downloads 3,758 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 971 Downloads 5,595 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 345 Downloads 1,666 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 277 Downloads 1,324 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 4,036 Downloads 6,148 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 3,586 Downloads 5,562 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 281 Downloads 1,088 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 5,507 Downloads 9,405 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 1,903 Downloads 4,395 Views Citations
Application of He’s Variational Iteration Method and Adomian Decomposition Method to Solution for the Fifth Order Caudrey-Dodd-Gibbon (CDG) Equation (Articles)

Mehdi Safari

Applied Mathematics Vol.2 No.8, August 3, 2011

DOI: 10.4236/am.2011.28131 6,784 Downloads 12,742 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 5,318 Downloads 9,515 Views Citations
Solution of non-linear boundary value problems in immobilized glucoamylase kinetics (Articles)

Swaminathan Sevukaperumal, Alagu Eswari, Lakshmanan Rajendran

Natural Science Vol.5 No.4, April 19, 2013

DOI: 10.4236/ns.2013.54061 4,376 Downloads 7,282 Views Citations
Some New Applications of Elzaki Transform for Solution of Linear Volterra Type Integral Equations (Articles)

Saad Sharjeel, Mushtaq Ahmed Khan Barakzai

Journal of Applied Mathematics and Physics Vol.7 No.8, August 23, 2019

DOI: 10.4236/jamp.2019.78129 1,332 Downloads 4,552 Views Citations
This article belongs to the Special Issue on Integral Transformation and Its Applications
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 295 Downloads 1,197 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 4,002 Views Citations
Analytical Expressions for Steady-State Concentrations of Substrate and Product in an Amperometric Biosensor with the Substrate Inhibition—The Adomian Decomposition Method (Articles)

Anandan Anitha, Shunmugham Loghambal, Lakshmanan Rajendran

American Journal of Analytical Chemistry Vol.3 No.8, August 27, 2012

DOI: 10.4236/ajac.2012.38066 3,953 Downloads 7,370 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 5,001 Downloads 8,096 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 5,448 Downloads 8,258 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 5,362 Downloads 9,246 Views Citations
This article belongs to the Special Issue on Numerical Analysis

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