Homotopy Analytical Method - Articles - Scientific Research Publishing

The Selection of Proper Auxiliary Parameters in the Homotopy Analysis Method. A Case Study: Uniform Solutions of Undamped Duffing Equation (Articles)

Mustafa Turkyilmazoglu

Applied Mathematics Vol.2 No.6, June 22, 2011

DOI: 10.4236/am.2011.26105 7,419 Downloads 12,927 Views Citations
Analytical solution of coupled non-linear second order differential equations in enzyme kinetics (Articles)

Govindhan Varadharajan, Lakshmanan Rajendran

Natural Science Vol.3 No.6, June 22, 2011

DOI: 10.4236/ns.2011.36063 8,855 Downloads 19,847 Views Citations
A two-parameter mathematical model for immobilizedenzymes and Homotopy analysis method (Articles)

Rathinasamy Angel Joy, Athimoolam Meena, Shunmugham Loghambal, Lakshmanan Rajendran

Natural Science Vol.3 No.7, July 29, 2011

DOI: 10.4236/ns.2011.37078 6,864 Downloads 13,813 Views Citations
Mathematical model for steady state current at ppo-modified micro-cylinder biosensors (Articles)

K. Venugopal, A. Eswari, L. Rajendran

Journal of Biomedical Science and Engineering Vol.4 No.9, September 30, 2011

DOI: 10.4236/jbise.2011.49079 4,504 Downloads 8,382 Views Citations
Analytical Expressions of Concentrations inside the Cationic Glucose-Sensitive Membrane (Articles)

Swaminathan Sevukaperumal, Shunmugham Loghambal, Lakshmanan Rajendran

Applied Mathematics Vol.3 No.4, April 27, 2012

DOI: 10.4236/am.2012.34058 4,217 Downloads 7,448 Views Citations
Homotopy Continuous Method for Weak Efficient Solution of Multiobjective Optimization Problem with Feasible Set Unbounded Condition (Articles)

Wei Xing, Boying Wu

Applied Mathematics Vol.3 No.7, June 21, 2012

DOI: 10.4236/am.2012.37114 4,870 Downloads 7,716 Views Citations
On the Homotopy Analysis Method and Optimal Value of the Convergence Control Parameter: Solution of Euler-Lagrange Equation (Articles)

Jafar Saberi-Nadjafi, Reza Buzhabadi, Hassan Saberi Nik

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38129 6,009 Downloads 10,571 Views Citations
Non-Linear Mathematical Model of the Interaction between Tumor and Oncolytic Viruses (Articles)

Seetharaman Usha, Vairamani Abinaya, Shunmugham Loghambal, Lakshmanan Rajendran

Applied Mathematics Vol.3 No.9, September 27, 2012

DOI: 10.4236/am.2012.39160 4,063 Downloads 7,183 Views Citations
Series Solution of Non-Similarity Boundary-Layer Flow in Porous Medium (Articles)

Nabeela Kousar, Rashid Mahmood

Applied Mathematics Vol.4 No.8A, July 29, 2013

DOI: 10.4236/am.2013.48A018 6,581 Downloads 9,368 Views Citations
This article belongs to the Special Issue on Mathematical Modeling
Stochastic Oscillators with Quadratic Nonlinearity Using WHEP and HPM Methods (Articles)

Amnah S. Al-Johani

American Journal of Computational Mathematics Vol.3 No.3, August 14, 2013

DOI: 10.4236/ajcm.2013.33027 3,461 Downloads 5,984 Views Citations
Analysis of non-linear reaction-diffusion processes with Michaelis-Menten kinetics by a new Homotopy perturbation method (Articles)

Devaraj Shanthi, Vembu Ananthaswamy, Lakshmanan Rajendran

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

DOI: 10.4236/ns.2013.59128 4,926 Downloads 8,330 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 3,974 Downloads 6,444 Views Citations
New Solution of Substrate Concentration in the Biosensor Response by Discrete Homotopy Analysis Method (Articles)

Seyyed Ali Madani Tonekaboni, Ali Shahbazi Mastan Abad, Shahab Karimi, Mitra Shabani

World Journal of Engineering and Technology Vol.1 No.3, September 6, 2013

DOI: 10.4236/wjet.2013.13005 4,667 Downloads 13,782 Views Citations
Analytical Solution of Substrate Concentration in the Biosensor Response (Articles)

Seyed Ali Madani Tonekaboni, Ali Shahbazi Mastan Abad, Amin Afshari, Ali Khalilzadeh, Shahab Karimi, Mitra Shabanisamghabady

Applied Mathematics Vol.4 No.12, November 8, 2013

DOI: 10.4236/am.2013.412217 4,446 Downloads 7,951 Views Citations
Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator (Articles)

T. A. Nofel

Applied Mathematics Vol.5 No.6, April 2, 2014

DOI: 10.4236/am.2014.56081 8,216 Downloads 11,093 Views Citations
A Series Solution for Three-Dimensional Navier-Stokes Equations of Flow near an Infinite Rotating Disk (Articles)

Hamed Shahmohamadi, Mahdi Mohammadpour

World Journal of Mechanics Vol.4 No.5, May 26, 2014

DOI: 10.4236/wjm.2014.45014 5,139 Downloads 7,345 Views Citations
RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation (Articles)

Amr M. S. Mahdy, Adel S. Mohamed, Ahmad A. H. Mtawa

Applied Mathematics Vol.6 No.1, January 14, 2015

DOI: 10.4236/am.2015.61014 5,298 Downloads 6,934 Views Citations
Influence of Magnetic Field, Viscous Dissipation and Thermophoresis on Darcy-Forcheimer Mixed Convection Flow in Fluid Saturated Porous Media (Articles)

Adeyemi Isaiah Fagbade, Bidemi Olumide Falodun, Chika Uchechukwu Boneze

American Journal of Computational Mathematics Vol.5 No.1, March 12, 2015

DOI: 10.4236/ajcm.2015.51002 3,589 Downloads 5,302 Views Citations
Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation (Articles)

Amr M. S. Mahdy, Adel S. Mohamed, Ahmad A. H. Mtawa

Applied Mathematics Vol.6 No.3, March 24, 2015

DOI: 10.4236/am.2015.63056 5,597 Downloads 7,910 Views Citations
Analytical Expression for the Concentration of Substrate and Product in Immobilized Enzyme System in Biofuel/Biosensor (Articles)

R. Malini Devi, O. M. Kirthiga, L. Rajendran

Applied Mathematics Vol.6 No.7, June 23, 2015

DOI: 10.4236/am.2015.67105 3,469 Downloads 5,042 Views Citations
This article belongs to the Special Issue on Mathematical Modelling of Natural Phenomena

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