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 7,435 Downloads 12,973 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 8,913 Downloads 19,935 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 6,894 Downloads 13,875 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 4,532 Downloads 8,434 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 4,238 Downloads 7,486 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 4,916 Downloads 7,783 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 6,042 Downloads 10,622 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 4,085 Downloads 7,224 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 6,604 Downloads 9,423 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 3,478 Downloads 6,025 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 4,945 Downloads 8,373 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 4,007 Downloads 6,505 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 4,682 Downloads 13,807 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 4,474 Downloads 8,004 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 8,254 Downloads 11,171 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 5,180 Downloads 7,412 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 5,619 Downloads 7,981 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 3,606 Downloads 5,341 Views Citations
A Solution of the Burger’s Equation Arising in the Longitudinal Dispersion Phenomenon in Fluid Flow through Porous Media by Mixture of New Integral Transform and Homotopy Perturbation Method (Articles)

Kunjan Shah, Twinkle Singh

Journal of Geoscience and Environment Protection Vol.3 No.4, June 26, 2015

DOI: 10.4236/gep.2015.34004 3,948 Downloads 5,676 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 3,480 Downloads 5,079 Views Citations
This article belongs to the Special Issue on Mathematical Modelling of Natural Phenomena

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