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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
4,556
Downloads
7,357
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
2,953
Downloads
6,289
Views
Citations
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
6,229
Downloads
10,552
Views
Citations
A Theoretical Model of pH-Based Potentiometric Biosensor Based on Immobilized Enzyme Membrane
(Articles)
Jeganathan Saranya
,
Lakshmanan Rajendran
,
Mariappan Uma Maheswari
American Journal of Analytical Chemistry
Vol.7 No.4
, April 22, 2016
DOI:
10.4236/ajac.2016.74035
2,470
Downloads
4,143
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
2,097
Views
Citations
Homotopy Perturbation Method for Solving Moving Boundary and Isoperimetric Problems
(Articles)
Sara Ghaderi
Applied Mathematics
Vol.3 No.5
, May 16, 2012
DOI:
10.4236/am.2012.35062
6,801
Downloads
10,855
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
5,000
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
Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method
(Articles)
Mohamed Elbadri
Applied Mathematics
Vol.9 No.2
, February 22, 2018
DOI:
10.4236/am.2018.92009
1,644
Downloads
5,058
Views
Citations
Construction of Solitary Wave Solutions and Rational Solutions for mKdV Equation with Initial Value Problem by Homotopy Perturbation Method
(Articles)
Zhongzhou Dong
,
Fen Wang
Open Access Library Journal
Vol.5 No.2
, February 28, 2018
DOI:
10.4236/oalib.1104383
809
Downloads
1,888
Views
Citations
Investigation of the Surface Brightness Model in the Milky Way via Homotopy Perturbation Method
(Articles)
Abdullah A. Alatawi
,
Mona Aljoufi
,
Fahad M. Alharbi
,
Abdelhalim Ebaid
Journal of Applied Mathematics and Physics
Vol.8 No.3
, March 9, 2020
DOI:
10.4236/jamp.2020.83033
643
Downloads
1,599
Views
Citations
Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems
(Articles)
Bothayna S. Kashkari
,
Sharefah Saleh
Applied Mathematics
Vol.8 No.7
, July 4, 2017
DOI:
10.4236/am.2017.87070
1,583
Downloads
3,602
Views
Citations
Exact Solution of Fractional Black-Scholes European Option Pricing Equations
(Articles)
Maryeme Ouafoudi
,
Fei Gao
Applied Mathematics
Vol.9 No.1
, January 30, 2018
DOI:
10.4236/am.2018.91006
1,673
Downloads
4,338
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
6,208
Downloads
8,895
Views
Citations
An Optimal Design of Accelerated Degradation Tests Based on Degradation Performance
(Articles)
Yunshun Wu
Open Journal of Statistics
Vol.9 No.6
, December 16, 2019
DOI:
10.4236/ojs.2019.96044
566
Downloads
1,599
Views
Citations
Analytical solution of the concentration and current in the electoenzymatic processes involved in a PPO-rotating-disk-bioelectrode
(Articles)
Govindhan. Varadharajan
,
Lakshmanan. Rajendran
Natural Science
Vol.3 No.1
, January 29, 2011
DOI:
10.4236/ns.2011.31001
5,194
Downloads
10,767
Views
Citations
Generalized Abel Inversion Using Homotopy Perturbation Method
(Articles)
Sunil Kumar
,
Om P. Singh
,
Sandeep Dixit
Applied Mathematics
Vol.2 No.2
, February 25, 2011
DOI:
10.4236/am.2011.22029
7,184
Downloads
13,583
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
21,683
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
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