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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
7,097
Downloads
12,112
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
6,472
Downloads
12,940
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
4,023
Downloads
6,859
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
4,642
Downloads
7,126
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
3,817
Downloads
6,510
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
6,227
Downloads
8,588
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
4,444
Downloads
13,120
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
4,182
Downloads
7,263
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
4,908
Downloads
6,640
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
4,608
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
3,978
Downloads
5,429
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
1,499
Downloads
3,235
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
1,095
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
740
Downloads
1,379
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
689
Downloads
1,693
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
93
Downloads
425
Views
Citations
Numerical Solution of Obstacle Problems by B-Spline Functions
(Articles)
G.B Loghmani
,
F Mahdifar
,
S.R Alavizadeh
American Journal of Computational Mathematics
Vol.1 No.2
,July 4, 2011
DOI:
10.4236/ajcm.2011.12006
4,661
Downloads
11,026
Views
Citations
Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations
(Articles)
Tunde A. Adeosun
,
Olugbenga J. Fenuga
,
Samuel O. Adelana
,
Abosede M. John
,
Ogunjimi Olalekan
,
Kazeem B. Alao
Applied Mathematics
Vol.4 No.10
,October 4, 2013
DOI:
10.4236/am.2013.410190
5,340
Downloads
7,990
Views
Citations
Septic B-Spline Solution of Fifth-Order Boundary Value Problems
(Articles)
Bin Lin
Journal of Applied Mathematics and Physics
Vol.4 No.8
,August 9, 2016
DOI:
10.4236/jamp.2016.48149
1,736
Downloads
2,754
Views
Citations
A Series Solution Approach to the Circular Restricted Gravitational Three-Body Dynamical Problem
(Articles)
Maha Hamed Alghamdi
,
Aisha Abdu Alshaery
Journal of Applied Mathematics and Physics
Vol.8 No.12
,December 3, 2020
DOI:
10.4236/jamp.2020.812200
332
Downloads
950
Views
Citations
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