Homotopy Analysis Method - Articles - Scientific Research Publishing

A Comparative Study of Adomain Decompostion Method and He-Laplace Method (Articles)

Badradeen A. A. Adam

Applied Mathematics Vol.5 No.21，December 1, 2014

DOI: 10.4236/am.2014.521312 5,679 Downloads 6,879 Views Citations
Analytical expression of non steady-state concentration profiles at planar electrode for the CE mechanism (Articles)

Vincent Michael Raj Margret PonRani, Lakshmanan Rajendren

Natural Science Vol.2 No.11，November 30, 2010

DOI: 10.4236/ns.2010.211160 5,434 Downloads 10,275 Views Citations
Approximate Solution of Non-Linear Reaction Diffusion Equations in Homogeneous Processes Coupled to Electrode Reactions for CE Mechanism at a Spherical Electrode (Articles)

A. Eswari, S. Usha, L. Rajendran

American Journal of Analytical Chemistry Vol.2 No.2，February 25, 2011

DOI: 10.4236/ajac.2011.22010 6,172 Downloads 11,131 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 8,638 Downloads 19,208 Views Citations
Analytical Solutions of System of Non-Linear Differential Equations in the Single-Enzyme, Single-Substrate Reaction with Non-Mechanism-Based Enzyme Inactivation (Articles)

Govindhan Varadharajan, Lakshmanan Rajendran

Applied Mathematics Vol.2 No.9，September 19, 2011

DOI: 10.4236/am.2011.29158 4,561 Downloads 8,686 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 4,268 Downloads 7,893 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 4,721 Downloads 7,313 Views Citations
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 3,307 Downloads 5,571 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 4,797 Downloads 7,905 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 3,719 Downloads 5,874 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 8,059 Downloads 10,583 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 5,043 Downloads 6,425 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 5,462 Downloads 7,330 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 3,335 Downloads 4,644 Views Citations
This article belongs to the Special Issue on Mathematical Modelling of Natural Phenomena
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 3,770 Downloads 5,109 Views Citations
A New Analytical Study of Modified Camassa-Holm and Degasperis-Procesi Equations (Articles)

Majeed A. Yousif, Bewar A. Mahmood, Fadhil H. Easif

American Journal of Computational Mathematics Vol.5 No.3，August 31, 2015

DOI: 10.4236/ajcm.2015.53024 4,743 Downloads 6,023 Views Citations
The Mixture of New Integral Transform and Homotopy Perturbation Method for Solving Discontinued Problems Arising in Nanotechnology (Articles)

Kunjan Shah, Twinkle Singh

Open Journal of Applied Sciences Vol.5 No.11，November 19, 2015

DOI: 10.4236/ojapps.2015.511068 3,783 Downloads 4,879 Views Citations
A Theoretical Model of pH-Based Potentiometric Biosensor Based on Immobilized Enzyme Membrane (Articles)

Jeganathan Saranya, Lakshmanan Rajendran, Mariappan Uma Maheswari

American Journal of Analytical Chemistry Vol.7 No.4，April 22, 2016

DOI: 10.4236/ajac.2016.74035 2,292 Downloads 3,629 Views Citations
A New Approximation to the Linear Matrix Equation AX = B by Modification of He’s Homotopy Perturbation Method (Articles)

Amir Sadeghi

Advances in Linear Algebra & Matrix Theory Vol.6 No.2，May 26, 2016

DOI: 10.4236/alamt.2016.62004 3,246 Downloads 5,215 Views Citations
Theoretical Analysis of Immobilized Oxidase Enzyme Electrode in the Presence of Two Oxidants (Articles)

Malinidevi Ramanathan, Rajendran Lakshmanan

American Journal of Analytical Chemistry Vol.7 No.10，October 13, 2016

DOI: 10.4236/ajac.2016.710062 1,540 Downloads 2,341 Views Citations
This article belongs to the Special Issue on Analysis of Volatiles

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