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The Analytical and Numerical Solutions of Differential Equations Describing of an Inclined Cable Subjected to External and Parametric Excitation Forces
(Articles)
Mohamed S. Abd Elkader
Applied Mathematics
Vol.2 No.12
,December 27, 2011
DOI:
10.4236/am.2011.212209
4,394
Downloads
7,954
Views
Citations
Non-Linear Analysis of Vibrations of Non-Linear System Subjected to Multi-Excitation Forces via a Non-Linear Absorber
(Articles)
Taha H. El-Ghareeb
,
Yaser S. Hamed
,
Mohamed S. Abd Elkader
Applied Mathematics
Vol.3 No.1
,January 4, 2012
DOI:
10.4236/am.2012.31011
7,038
Downloads
12,821
Views
Citations
Sliding Mode Control for Singularly Perturbed Systems Using Accurate Reduced Model
(Articles)
Ayman E. M. Ahmed
,
Mohamed Zohdy
Int'l J. of Modern Nonlinear Theory and Application
Vol.10 No.1
,March 5, 2021
DOI:
10.4236/ijmnta.2021.101001
416
Downloads
1,076
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
5,298
Downloads
8,685
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
7,317
Downloads
20,992
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
4,212
Downloads
8,135
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
4,292
Downloads
6,836
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
6,137
Downloads
10,511
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
4,147
Downloads
6,330
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
3,927
Downloads
5,431
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
4,333
Downloads
6,753
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
2,054
Downloads
3,663
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
2,701
Downloads
5,485
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
1,397
Downloads
2,637
Views
Citations
Solution of Fuzzy Initial Value Problems Using Homotopy Analysis Method and Padè Approximate
(Articles)
Rana H. Ali
,
Kais I. Ibraheem
Open Access Library Journal
Vol.7 No.10
,October 15, 2020
DOI:
10.4236/oalib.1106803
274
Downloads
1,131
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
396
Downloads
1,116
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
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation
(Articles)
Mehdi Safari
Applied Mathematics
Vol.2 No.9
,September 19, 2011
DOI:
10.4236/am.2011.29150
6,449
Downloads
11,654
Views
Citations
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
(Articles)
Mehdi Safari
,
Majid Safari
American Journal of Computational Mathematics
Vol.1 No.4
,December 9, 2011
DOI:
10.4236/ajcm.2011.14027
6,760
Downloads
11,148
Views
Citations
Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
(Articles)
R. N. Prajapati
,
Rakesh Mohan
,
Pankaj Kumar
American Journal of Computational Mathematics
Vol.2 No.4
,December 25, 2012
DOI:
10.4236/ajcm.2012.24042
5,774
Downloads
10,902
Views
Citations
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