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Solving the Optimal Control of Linear Systems via Homotopy Perturbation Method
(Articles)
Fateme Ghomanjani
,
Sara Ghaderi
,
Mohammad Hadi Farahi
Intelligent Control and Automation
Vol.3 No.1
,February 28, 2012
DOI:
10.4236/ica.2012.31004
5,923
Downloads
9,927
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
5,299
Downloads
8,690
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
4,217
Downloads
8,142
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
4,295
Downloads
6,840
Views
Citations
Homotopy Perturbation Method for the Generalized Hirota-Satsuma Coupled KdV Equation
(Articles)
Dalal A. Maturi
Applied Mathematics
Vol.3 No.12
,December 21, 2012
DOI:
10.4236/am.2012.312273
5,703
Downloads
9,720
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
6,144
Downloads
10,519
Views
Citations
A Weaker Constraint Qualification of Globally Convergent Homotopy Method for a Multiobjective Programming Problem
(Articles)
Guangming Yao
,
Wen Song
Applied Mathematics
Vol.4 No.2
,February 27, 2013
DOI:
10.4236/am.2013.42052
4,149
Downloads
6,334
Views
Citations
Analytical expression of concentrations of adsorbed CO molecules, O atoms and oxide oxygen
(Articles)
Chinnasamy Thangapandi
,
Lakshmanan Rajendran
Natural Science
Vol.5 No.3
,March 26, 2013
DOI:
10.4236/ns.2013.53045
3,854
Downloads
6,201
Views
Citations
Numerical Solution of Model of Cancer Invasion with Tissue
(Articles)
Farhad Hatami
,
Mohammad Bagher Ghaemi
Applied Mathematics
Vol.4 No.7
,July 11, 2013
DOI:
10.4236/am.2013.47143
4,321
Downloads
7,231
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
3,930
Downloads
5,438
Views
Citations
Numerical solutions of second order initial value problems of Bratu-type via optimal homotopy asymptotic method
(Articles)
Mohamed Abdalla Darwish
,
Bothayna S. Kashkari
American Journal of Computational Mathematics
Vol.4 No.2
,March 20, 2014
DOI:
10.4236/ajcm.2014.42005
4,334
Downloads
6,755
Views
Citations
On the Exact Solution of Burgers-Huxley Equation Using the Homotopy Perturbation Method
(Articles)
S. Salman Nourazar
,
Mohsen Soori
,
Akbar Nazari-Golshan
Journal of Applied Mathematics and Physics
Vol.3 No.3
,March 23, 2015
DOI:
10.4236/jamp.2015.33042
4,625
Downloads
6,665
Views
Citations
Variational Homotopy Perturbation Method for Solving Benjamin-Bona-Mahony Equation
(Articles)
Fadhil H. Easif
,
Saad A. Manaa
,
Bewar A. Mahmood
,
Majeed A. Yousif
Applied Mathematics
Vol.6 No.4
,April 17, 2015
DOI:
10.4236/am.2015.64062
3,677
Downloads
5,207
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
2,057
Downloads
3,670
Views
Citations
Application of OHAM-DJ to the System of Burgers’ Equations
(Articles)
Fatheah Ahmad Alhendi
,
Bothayna Saleh Kashkari
,
Aisha Abdullah Alderremy
American Journal of Computational Mathematics
Vol.6 No.3
,August 11, 2016
DOI:
10.4236/ajcm.2016.63022
2,703
Downloads
5,490
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
1,400
Downloads
2,642
Views
Citations
Solitary Wave Solutions and Rational Solutions for Modified Zakharov-Kuznetsov Equation with Initial Value Problem
(Articles)
Zhongzhou Dong
,
Ling Wang
Journal of Applied Mathematics and Physics
Vol.6 No.5
,May 15, 2018
DOI:
10.4236/jamp.2018.65081
618
Downloads
1,475
Views
Citations
This article belongs to the Special Issue on
Applications of Mathematical Theory and Equations in Physics
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
396
Downloads
1,117
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
143
Downloads
635
Views
Citations
Two solutions for the BVP of a rotating variable-thickness solid disk
(Articles)
Ashraf M. Zenkour
,
Suzan A. Al-Ahmadi
Natural Science
Vol.3 No.2
,March 1, 2011
DOI:
10.4236/ns.2011.32021
5,313
Downloads
10,073
Views
Citations
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