Mathematical Modeling; Simulation; Adomian Decomposition Method; Initial Boundary Value Problems - Articles

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 4,203 Downloads 7,168 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 10,718 Downloads 21,504 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 3,475 Downloads 5,070 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 1,524 Downloads 3,405 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 161 Downloads 629 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 4,235 Downloads 6,827 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 4,790 Downloads 7,582 Views Citations
Application of variational iteration method and electron transfer mediator/catalyst composites in modified electrodes (Articles)

Alagu Eswari, Lakshmanan Rajendran

Natural Science Vol.2 No.6，July 1, 2010

DOI: 10.4236/ns.2010.26076 4,701 Downloads 8,997 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 2,037 Downloads 4,336 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 5,191 Downloads 9,035 Views Citations
Efficient Decomposition Shooting Method for Solving Third-Order Boundary Value Problems (Articles)

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

Int'l J. of Modern Nonlinear Theory and Application Vol.12 No.3，September 14, 2023

DOI: 10.4236/ijmnta.2023.123006 210 Downloads 750 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 1,762 Downloads 3,889 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 3,763 Downloads 6,856 Views Citations
Analytical Expressions of Concentration of VOC and Oxygen in Steady-State in Biofilteration Model (Articles)

Mayakkannan Sivasankari, Lakshmanan Rajendran

Applied Mathematics Vol.4 No.2，February 27, 2013

DOI: 10.4236/am.2013.42048 4,133 Downloads 6,854 Views Citations
The G-functions Series Method Adapted to the Numerical Integration of Parabolic PDE (Articles)

Mónica Cortés-Molina, José Antonio Reyes, Fernando García-Alonso

Journal of Applied Mathematics and Physics Vol.6 No.1，January 18, 2018

DOI: 10.4236/jamp.2018.61016 859 Downloads 1,690 Views Citations
Analytical expressions of the concentrations of substrate and product in enzyme inhibition process (Articles)

Sankaranarayanan Muthukumar, Lakshmanan Rajendran

Natural Science Vol.5 No.9，September 2, 2013

DOI: 10.4236/ns.2013.59129 3,718 Downloads 5,869 Views Citations
Approximate Analytical Expressions for the Concentrations of Acetate and Methane in the Microbial Electrochemical Cell (Articles)

Sivasamy Pavithra, Lakshmanan Rajendran, Raghavan Ashokan

Natural Science Vol.8 No.4，April 28, 2016

DOI: 10.4236/ns.2016.84023 2,236 Downloads 3,121 Views Citations
New Improved Variational Homotopy Perturbation Method for Bratu-Type Problems (Articles)

Olusola Ezekiel Abolarin

American Journal of Computational Mathematics Vol.3 No.2，June 24, 2013

DOI: 10.4236/ajcm.2013.32018 4,798 Downloads 8,213 Views Citations
Adaptive Boundary Control for the Dynamics of the Generalized Burgers-Huxley Equation (Articles)

Zaki Mrzog Alaofi, Talaat Sayed Ali, Faisal Abd Alaal, Silvestru Sever Dragomir

Open Journal of Applied Sciences Vol.12 No.8，August 25, 2022

DOI: 10.4236/ojapps.2022.128098 118 Downloads 595 Views Citations
A New Algorithm Based on Differential Transform Method for Solving Partial Differential Equation System with Initial and Boundary Conditions (Articles)

Chenlu Huang, Jiwei Li, Fali Lin

Advances in Pure Mathematics Vol.10 No.5，May 25, 2020

DOI: 10.4236/apm.2020.105020 1,189 Downloads 4,117 Views Citations

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