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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
4,336
Downloads
6,759
Views
Citations
Iterative approximate solutions of kinetic equations for reversible enzyme reactions
(Articles)
Sarbaz H. A. Khoshnaw
Natural Science
Vol.5 No.6
,June 17, 2013
DOI:
10.4236/ns.2013.56091
3,798
Downloads
6,108
Views
Citations
On the Homotopy Analysis Method and Optimal Value of the Convergence Control Parameter: Solution of Euler-Lagrange Equation
(Articles)
Jafar Saberi-Nadjafi
,
Reza Buzhabadi
,
Hassan Saberi Nik
Applied Mathematics
Vol.3 No.8
,August 1, 2012
DOI:
10.4236/am.2012.38129
5,667
Downloads
9,789
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
277
Downloads
1,142
Views
Citations
Existence of Solutions to a Class of Navier Boundary Value Problem Involving the Polyharmonic
(Articles)
Yongyi Lan
Advances in Pure Mathematics
Vol.8 No.4
,April 17, 2018
DOI:
10.4236/apm.2018.84020
539
Downloads
1,084
Views
Citations
This article belongs to the Special Issue on
Dynamical System and Its Application
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
1,377
Downloads
4,300
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
666
Downloads
1,418
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
389
Downloads
1,022
Views
Citations
A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method
(Articles)
Shams A. Ahmed
Applied Mathematics
Vol.9 No.3
,March 19, 2018
DOI:
10.4236/am.2018.93014
913
Downloads
1,794
Views
Citations
Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations
(Articles)
Artion Kashuri
,
Akli Fundo
,
Matilda Kreku
Advances in Pure Mathematics
Vol.3 No.3
,May 8, 2013
DOI:
10.4236/apm.2013.33045
5,374
Downloads
10,984
Views
Citations
Analysis of non-linear reaction-diffusion processes with Michaelis-Menten kinetics by a new Homotopy perturbation method
(Articles)
Devaraj Shanthi
,
Vembu Ananthaswamy
,
Lakshmanan Rajendran
Natural Science
Vol.5 No.9
,September 2, 2013
DOI:
10.4236/ns.2013.59128
4,652
Downloads
7,850
Views
Citations
A Solution of the Burger’s Equation Arising in the Longitudinal Dispersion Phenomenon in Fluid Flow through Porous Media by Mixture of New Integral Transform and Homotopy Perturbation Method
(Articles)
Kunjan Shah
,
Twinkle Singh
Journal of Geoscience and Environment Protection
Vol.3 No.4
,June 26, 2015
DOI:
10.4236/gep.2015.34004
3,612
Downloads
4,916
Views
Citations
The Mixture of New Integral Transform and Homotopy Perturbation Method for Solving Discontinued Problems Arising in Nanotechnology
(Articles)
Kunjan Shah
,
Twinkle Singh
Open Journal of Applied Sciences
Vol.5 No.11
,November 19, 2015
DOI:
10.4236/ojapps.2015.511068
3,679
Downloads
4,672
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
2,196
Downloads
3,413
Views
Citations
Theoretical Analysis of Immobilized Oxidase Enzyme Electrode in the Presence of Two Oxidants
(Articles)
Malinidevi Ramanathan
,
Rajendran Lakshmanan
American Journal of Analytical Chemistry
Vol.7 No.10
,October 13, 2016
DOI:
10.4236/ajac.2016.710062
1,460
Downloads
2,165
Views
Citations
This article belongs to the Special Issue on
Analysis of Volatiles
Renormalized Coordinate Stretching: A Generalization of Shoot and Fit with Application to Stellar Structure
(Articles)
Peter D. Usher
International Journal of Astronomy and Astrophysics
Vol.3 No.3
,September 3, 2013
DOI:
10.4236/ijaa.2013.33039
3,513
Downloads
5,687
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
1,412
Downloads
3,653
Views
Citations
Mathematical modelling of a biofilm: The Adomian decomposition method
(Articles)
Subramanian Muthukaruppan
,
Alagu Eswari
,
Lakshmanan Rajendran
Natural Science
Vol.5 No.4
,April 19, 2013
DOI:
10.4236/ns.2013.54059
4,101
Downloads
7,156
Views
Citations
Analytical Solution of Van Der Pol’s Differential Equation Using Homotopy Perturbation Method
(Articles)
Md. Mamun-Ur-Rashid Khan
Journal of Applied Mathematics and Physics
Vol.7 No.1
,January 7, 2019
DOI:
10.4236/jamp.2019.71001
1,197
Downloads
3,939
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
4,861
Downloads
10,101
Views
Citations
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