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A New Analytical Approach for Solving Nonlinear Boundary Value Problems in Finite Domains
(Articles)
Jafar Biazar
,
Behzad Ghanbari
Applied Mathematics
Vol.2 No.8
, August 3, 2011
DOI:
10.4236/am.2011.28136
6,141
Downloads
12,044
Views
Citations
Analytic Solution of MHD Stagnation Point Flow over a Stretching Permeable Surface with Effects of Viscous Dissipation and Joule Heating
(Articles)
Satyaban Panigrahi
,
Motahar Reza
Engineering
Vol.6 No.12
, November 24, 2014
DOI:
10.4236/eng.2014.612077
3,586
Downloads
4,998
Views
Citations
Homotopy Analysis Method for Equations of the Type Δ
2
=b(x,y) and Δ
2
u=b(x,y,u)
(Articles)
Selcuk Yildirim
Journal of Applied Mathematics and Physics
Vol.3 No.4
, April 20, 2015
DOI:
10.4236/jamp.2015.34049
3,672
Downloads
5,553
Views
Citations
The Homotopy Analysis Method for Approximating of Giving Up Smoking Model in Fractional Order
(Articles)
Anwar Zeb
,
M. Ikhlaq Chohan
,
Gul Zaman
Applied Mathematics
Vol.3 No.8
, August 1, 2012
DOI:
10.4236/am.2012.38136
5,660
Downloads
9,497
Views
Citations
Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method
(Articles)
Orkun Tasbozan
,
Alaattin Esen
,
Nuri Murat Yagmurlu
Open Journal of Applied Sciences
Vol.2 No.3
, September 28, 2012
DOI:
10.4236/ojapps.2012.23029
7,770
Downloads
21,682
Views
Citations
Homotopy Analysis Method for Large-Amplitude Free Vibrations of Strongly Nonlinear Generalized Duffing Oscillators
(Articles)
Youhua Qian
,
Dongxu Ren
,
Shengmin Chen
,
Lin Ping
Modern Mechanical Engineering
Vol.2 No.4
, November 30, 2012
DOI:
10.4236/mme.2012.24022
4,516
Downloads
8,914
Views
Citations
Analytical expressions of steady-state concentrations of species in potentiometric and amperometric biosensor
(Articles)
Mayakkannan Sivasankari
,
Lakshmanan Rajendran
Natural Science
Vol.4 No.12
, December 19, 2012
DOI:
10.4236/ns.2012.412132
4,624
Downloads
7,497
Views
Citations
A Modified Homotopy Analysis Method for Solving Boundary Layer Equations
(Articles)
Yinlong Zhao
,
Zhiliang Lin
,
Shijun Liao
Applied Mathematics
Vol.4 No.1
, January 25, 2013
DOI:
10.4236/am.2013.41003
6,435
Downloads
11,163
Views
Citations
The Solutions for the Eco-Epidemic Model with Homotopy Analysis Method
(Articles)
Xiurong Chen
Engineering
Vol.5 No.10B
, December 17, 2013
DOI:
10.4236/eng.2013.510B091
4,319
Downloads
6,136
Views
Citations
Numerical Simulation of Reaction-Diffusion Systems of Turing Pattern Formation
(Articles)
Gendai Gu
,
Hongxiao Peng
International Journal of Modern Nonlinear Theory and Application
Vol.4 No.4
, November 12, 2015
DOI:
10.4236/ijmnta.2015.44016
6,207
Downloads
8,889
Views
Citations
Homotopy Analysis Solution to Radial Diffusivity Equation of Slightly Compressible Fluid
(Articles)
Olugbenga Adebanjo Falode
,
Victor Sunday Chukwunagolu
Applied Mathematics
Vol.7 No.9
, May 31, 2016
DOI:
10.4236/am.2016.79087
2,296
Downloads
4,366
Views
Citations
Homotopy Analysis of MHD Free Convective Micropolar Fluid Flow along a Vertical Surface Embedded in Non-Darcian Thermally-Stratified Medium
(Articles)
Olubode Kolade Koriko
,
Tosin Oreyeni
,
Adeola John Omowaye
,
Isaac Lare Animasaun
Open Journal of Fluid Dynamics
Vol.6 No.3
, September 16, 2016
DOI:
10.4236/ojfd.2016.63016
1,689
Downloads
3,575
Views
Citations
Homotopy Analysis Method for a Conservative Nonlinear Oscillator with Fractional Power
(Articles)
Huaxiong Chen
,
Yanyan Wang
Journal of Applied Mathematics and Physics
Vol.9 No.1
, January 6, 2021
DOI:
10.4236/jamp.2021.91004
637
Downloads
1,852
Views
Citations
Insight into Dynamics of Hydromagnetic Flow of Micropolar Fluid Containing Nanoparticles and Gyrotactic Microorganisms at Weak and Strong Concentrations of Microelements: Homotopy Analysis Method
(Articles)
Olubode Kolade Koriko
,
Adeola John Omowaye
,
Amos Oladele Popoola
,
Tosin Oreyeni
,
Abigail Ayooye Adegbite
,
Emmanuel Abiodun Oni
,
Emmanuel Omokhuale
,
Muhammad Muhammad Altine
American Journal of Computational Mathematics
Vol.12 No.2
, June 28, 2022
DOI:
10.4236/ajcm.2022.122017
333
Downloads
1,169
Views
Citations
Homotopy Analysis Method Solution to Time-Fractional Diffusion with a Moving Boundary
(Articles)
Ogugua N. Onyejekwe
Journal of Applied Mathematics and Physics
Vol.13 No.6
, June 25, 2025
DOI:
10.4236/jamp.2025.136116
82
Downloads
433
Views
Citations
Analytic algorithms for Some Models of Nonlinear Age–Structured Population Dynamics and Epidemiology
(Articles)
Vipul K. Baranwal
,
Ram K. Pandey
,
Manoj P. Tripathi
,
Om. P. Singh
Journal of Modern Physics
Vol.2 No.4
, April 22, 2011
DOI:
10.4236/jmp.2011.24033
5,460
Downloads
10,847
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
1,810
Downloads
4,177
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
993
Downloads
2,095
Views
Citations
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
7,455
Downloads
13,001
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
6,898
Downloads
13,890
Views
Citations
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