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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
12,098
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
6,471
Downloads
12,935
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
6,845
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
7,113
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
5,694
Downloads
9,599
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
6,505
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
6,222
Downloads
8,580
Views
Citations
This article belongs to the Special Issue on
Mathematical Modeling
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
4,442
Downloads
13,116
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
7,251
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
6,632
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
3,355
Downloads
4,597
Views
Citations
Analytic Solution for Fluid Flow over an Exponentially Stretching Porous Sheet with Surface Heat Flux in Porous Medium by Means of Homotopy Analysis Method
(Articles)
Azhar Ali
,
H. Zaman
,
M. Z. Abidin
,
S. I. A. Shah
American Journal of Computational Mathematics
Vol.5 No.2
,June 30, 2015
DOI:
10.4236/ajcm.2015.52019
3,971
Downloads
5,421
Views
Citations
A Mathematical Approach Based on the Homotopy Analysis Method: Application to Solve the Nonlinear Harry-Dym (HD) Equation
(Articles)
Emran Khoshrouye Ghiasi
,
Reza Saleh
Applied Mathematics
Vol.8 No.11
,November 13, 2017
DOI:
10.4236/am.2017.811113
1,496
Downloads
3,231
Views
Citations
On the Analysis of Variable Thermophysical Properties of Thermophoretic Viscoelastic Fluid Flow past a Vertical Surface with n
th
Order of Chemical Reaction
(Articles)
Olubode Kolade Koriko
,
Tosin Oreyeni
,
Onyekachukwu Anselm Oyem
Open Access Library Journal
Vol.5 No.6
,June 8, 2018
DOI:
10.4236/oalib.1104271
468
Downloads
1,090
Views
Citations
Homotopy Analysis Method for Solving Initial Value Problems of Second Order with Discontinuities
(Articles)
Waleed Al-Hayani
,
Rasha Fahad
Applied Mathematics
Vol.10 No.6
,June 17, 2019
DOI:
10.4236/am.2019.106030
827
Downloads
2,396
Views
Citations
Optimal Homotopy Analysis of MHD Natural Convection Flow of Thixotropic Fluid under Subjection of Thermal Stratification: Boundary Layer Analysis
(Articles)
T. Oreyeni
,
E. Omokhuale
American Journal of Computational Mathematics
Vol.9 No.2
,June 26, 2019
DOI:
10.4236/ajcm.2019.92009
737
Downloads
1,366
Views
Citations
Analytical Algorithm for Systems of Neutral Delay Differential Equations
(Articles)
Aminu Barde
,
Normah Maan
Applied Mathematics
Vol.10 No.9
,September 25, 2019
DOI:
10.4236/am.2019.109054
685
Downloads
1,684
Views
Citations
Application of HAM for Nonlinear Integro-Differential Equations of Order Two
(Articles)
Zainidin Eshkuvatov
,
Davron Khayrullaev
,
Muzaffar Nurillaev
,
Shalela Mohd Mahali
,
Anvar Narzullaev
Journal of Applied Mathematics and Physics
Vol.11 No.1
,January 17, 2023
DOI:
10.4236/jamp.2023.111005
91
Downloads
416
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
4,393
Downloads
7,705
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
4,135
Downloads
6,565
Views
Citations
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