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A Note on the Proof of the Perron-Frobenius Theorem
(Articles)
Yun Cheng
,
Timothy Carson
,
Mohamed B. M. Elgindi
Applied Mathematics
Vol.3 No.11
,November 20, 2012
DOI:
10.4236/am.2012.311235
6,222
Downloads
8,913
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
4,228
Downloads
8,094
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
4,307
Downloads
6,570
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
6,164
Downloads
10,262
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
4,161
Downloads
6,296
Views
Citations
On Elastic Klein Bottle and Fundamental Groups
(Articles)
A. E. El-Ahmady
Applied Mathematics
Vol.4 No.3
,March 21, 2013
DOI:
10.4236/am.2013.43074
3,949
Downloads
6,116
Views
Citations
New Approach to the Generalized Poincare Conjecture
(Articles)
Alexander A.ki Ermolits
Applied Mathematics
Vol.4 No.9
,September 25, 2013
DOI:
10.4236/am.2013.49183
3,196
Downloads
4,967
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
3,954
Downloads
5,282
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
4,345
Downloads
6,586
Views
Citations
Numerical Simulation of Reaction-Diffusion Systems of Turing Pattern Formation
(Articles)
Gendai Gu
,
Hongxiao Peng
Int'l J. of Modern Nonlinear Theory and Application
Vol.4 No.4
,November 12, 2015
DOI:
10.4236/ijmnta.2015.44016
5,898
Downloads
7,660
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
2,062
Downloads
3,478
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
2,712
Downloads
5,356
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
1,412
Downloads
2,575
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
287
Downloads
991
Views
Citations
The Vibrational Motion of a Dynamical System Using Homotopy Perturbation Technique
(Articles)
T. S. Amer
,
A. A. Galal
,
Shimaa Elnaggar
Applied Mathematics
Vol.11 No.11
,November 13, 2020
DOI:
10.4236/am.2020.1111073
409
Downloads
1,088
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
403
Downloads
1,008
Views
Citations
The Homotopical Proof of Π
1
(
S
,
x
o
) as a Fundamental Group in a General Interval
(Articles)
Zigli David Delali
,
Obeng-Denteh William
,
Brew Lewis
,
Ansah Richard Kwame
Advances in Pure Mathematics
Vol.11 No.5
,May 17, 2021
DOI:
10.4236/apm.2021.115024
207
Downloads
943
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
155
Downloads
599
Views
Citations
Circular Scale of Time as a Guide for the Schrödinger Perturbation Process of a Quantum-Mechanical System
(Articles)
Stanisław Olszewski
World Journal of Mechanics
Vol.9 No.5
,May 16, 2019
DOI:
10.4236/wjm.2019.95009
629
Downloads
1,333
Views
Citations
Multi-Objective Incomplete Probability Information Optimization Reliability Design Based on Ant Colony Algorithm
(Articles)
Qiang ZHANG
,
Shouju LI
,
Ying TIAN
Journal of Software Engineering and Applications
Vol.2 No.5
,December 28, 2009
DOI:
10.4236/jsea.2009.25046
5,292
Downloads
9,109
Views
Citations
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