Perturbation Method; Control; Stability; Resonance; Jump Phenomenon - Articles

Output Feedback Nonlinear General Integral Control (Articles)

Baishun Liu

International Journal of Modern Nonlinear Theory and Application Vol.4 No.2, May 15, 2015

DOI: 10.4236/ijmnta.2015.42007 3,530 Downloads 4,546 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 10,736 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 6,432 Downloads 11,699 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 8,858 Downloads 19,860 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 4,821 Downloads 9,307 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 4,505 Downloads 8,390 Views Citations
DIA Solitary and Shock Waves in Dusty Multi-Ion Dense Plasma with Arbitrary Charged Dust (Articles)

M. S. Zobaer, N. Roy, A. A. Mamun

Journal of Modern Physics Vol.3 No.8, August 15, 2012

DOI: 10.4236/jmp.2012.38099 4,572 Downloads 8,342 Views Citations
Third-Order Corrections and Mass-Shedding Limit of Rotating Neutron Stars Computed By a Complex-Plane Strategy (Articles)

Ioannis Sfaelos, Vassilis Geroyannis

International Journal of Astronomy and Astrophysics Vol.2 No.4, December 31, 2012

DOI: 10.4236/ijaa.2012.24027 4,387 Downloads 7,316 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 5,987 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 8,337 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 3,975 Downloads 6,457 Views Citations
Finite Element Analysis for Singularly Perturbed Advection-Diffusion Robin Boundary Values Problem (Articles)

Songlin Chen, Weigen Hou, Xiaohui Jiang

Advances in Pure Mathematics Vol.3 No.7, October 28, 2013

DOI: 10.4236/apm.2013.37085 3,222 Downloads 5,529 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 8,218 Downloads 11,101 Views Citations
Quasi-Radial Modes of Pulsating Neutron Stars: Numerical Results for General-Relativistic Rigidly Rotating Polytropic Models (Articles)

Vassilis Geroyannis, Eleftheria Tzelati

International Journal of Astronomy and Astrophysics Vol.4 No.3, August 19, 2014

DOI: 10.4236/ijaa.2014.43041 2,717 Downloads 3,861 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 5,300 Downloads 6,943 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 5,599 Downloads 7,925 Views Citations
A Block Procedure with Linear Multi-Step Methods Using Legendre Polynomials for Solving ODEs (Articles)

Khadijah M. Abualnaja

Applied Mathematics Vol.6 No.4, April 29, 2015

DOI: 10.4236/am.2015.64067 3,405 Downloads 5,186 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 3,470 Downloads 5,051 Views Citations
This article belongs to the Special Issue on Mathematical Modelling of Natural Phenomena
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 6,487 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 5,332 Views Citations

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