Homotopy Perturbation Method - Articles - Scientific Research Publishing

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 7,206 Downloads 12,383 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 6,601 Downloads 13,213 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 4,094 Downloads 7,047 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 4,720 Downloads 7,310 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 5,818 Downloads 9,966 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 3,904 Downloads 6,747 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 6,377 Downloads 8,875 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 4,534 Downloads 13,332 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 4,270 Downloads 7,475 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 5,001 Downloads 6,906 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 3,456 Downloads 4,889 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 4,079 Downloads 5,705 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 1,583 Downloads 3,507 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 509 Downloads 1,275 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 908 Downloads 2,925 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 796 Downloads 1,568 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 751 Downloads 1,959 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 168 Downloads 684 Views Citations
Approximate Solution of the Singular-Perturbation Problem on Chebyshev-Gauss Grid (Articles)

Mustafa GÜLSU, Yalçn ÖZTÜRK

American Journal of Computational Mathematics Vol.1 No.4，December 9, 2011

DOI: 10.4236/ajcm.2011.14024 6,146 Downloads 11,457 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 4,460 Downloads 7,922 Views Citations

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