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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
7,090
Downloads
12,095
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
8,481
Downloads
18,746
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
6,470
Downloads
12,933
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
4,446
Downloads
8,418
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
4,123
Downloads
7,623
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
4,018
Downloads
6,843
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
4,637
Downloads
7,112
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
5,693
Downloads
9,594
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
3,816
Downloads
6,503
Views
Citations
Solution of non-linear boundary value problems in immobilized glucoamylase kinetics
(Articles)
Swaminathan Sevukaperumal
,
Alagu Eswari
,
Lakshmanan Rajendran
Natural Science
Vol.5 No.4
,April 19, 2013
DOI:
10.4236/ns.2013.54061
4,133
Downloads
6,581
Views
Citations
Iterative approximate solutions of kinetic equations for reversible enzyme reactions
(Articles)
Sarbaz H. A. Khoshnaw
Natural Science
Vol.5 No.6
,June 17, 2013
DOI:
10.4236/ns.2013.56091
3,819
Downloads
5,980
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
6,221
Downloads
8,575
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
3,192
Downloads
5,333
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
4,670
Downloads
7,572
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
3,488
Downloads
5,487
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
4,441
Downloads
13,113
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
4,178
Downloads
7,248
Views
Citations
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
(Articles)
Taher A. Nofal
,
Gamal M. Ismail
,
Sayed Abdel-Khalek
Journal of Modern Physics
Vol.4 No.11
,November 22, 2013
DOI:
10.4236/jmp.2013.411179
3,967
Downloads
5,729
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
7,921
Downloads
10,207
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
4,906
Downloads
6,629
Views
Citations
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