Homotopy Perturbation Method - Articles - Scientific Research Publishing

Numerical Solution of Fractional Differential Equations (Articles)

Adnan Daraghmeh, Naji Qatanani, Aya Saadeh

Applied Mathematics Vol.11 No.11, November 13, 2020

DOI: 10.4236/am.2020.1111074 2,309 Downloads 10,295 Views Citations
Analytic algorithms for Some Models of Nonlinear Age–Structured Population Dynamics and Epidemiology (Articles)

Vipul K. Baranwal, Ram K. Pandey, Manoj P. Tripathi, Om. P. Singh

Journal of Modern Physics Vol.2 No.4, April 22, 2011

DOI: 10.4236/jmp.2011.24033 5,422 Downloads 10,776 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 5,606 Downloads 10,731 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 6,428 Downloads 11,687 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
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 4,819 Downloads 9,296 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
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
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
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
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
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 3,920 Downloads 5,618 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 4,861 Downloads 6,484 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 3,905 Downloads 5,324 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 2,423 Downloads 4,058 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 3,407 Downloads 5,739 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 1,655 Downloads 2,727 Views Citations
This article belongs to the Special Issue on Analysis of Volatiles

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