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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
5,669
Downloads
9,795
Views
Citations
Optimal Trajectory of Underwater Manipulator Using Adjoint Variable Method for Reducing Drag
(Articles)
Kazunori Shinohara
Open Journal of Discrete Mathematics
Vol.1 No.3
,October 17, 2011
DOI:
10.4236/ojdm.2011.13018
4,423
Downloads
9,452
Views
Citations
Swimmer simulation using robot manipulator dynamics under steady water
(Articles)
Kazunori Shinohara
Natural Science
Vol.2 No.9
,October 8, 2010
DOI:
10.4236/ns.2010.29117
4,859
Downloads
9,553
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
1,382
Downloads
2,853
Views
Citations
A Mathematical Approach Based on the Homotopy Analysis Method: Application to Solve the Nonlinear Harry-Dym (HD) Equation
(Articles)
Emran Khoshrouye Ghiasi
,
Reza Saleh
Applied Mathematics
Vol.8 No.11
,November 13, 2017
DOI:
10.4236/am.2017.811113
1,484
Downloads
3,478
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
3,434
Downloads
4,843
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
3,680
Downloads
5,218
Views
Citations
New Improved Variational Homotopy Perturbation Method for Bratu-Type Problems
(Articles)
Olusola Ezekiel Abolarin
American Journal of Computational Mathematics
Vol.3 No.2
,June 24, 2013
DOI:
10.4236/ajcm.2013.32018
4,697
Downloads
8,212
Views
Citations
A Comparative Study of Variational Iteration Method and He-Laplace Method
(Articles)
Hradyesh Kumar Mishra
Applied Mathematics
Vol.3 No.10
,October 12, 2012
DOI:
10.4236/am.2012.310174
7,233
Downloads
13,537
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
7,333
Downloads
21,021
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
4,221
Downloads
8,150
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
2,058
Downloads
3,679
Views
Citations
Variational Iterative Method Applied to Variational Problems with Moving Boundaries
(Articles)
Fateme Ghomanjani
,
Sara Ghaderi
Applied Mathematics
Vol.3 No.5
,May 16, 2012
DOI:
10.4236/am.2012.35061
7,763
Downloads
13,933
Views
Citations
Solution of non-linear boundary value problems in immobilized glucoamylase kinetics
(Articles)
Swaminathan Sevukaperumal
,
Alagu Eswari
,
Lakshmanan Rajendran
Natural Science
Vol.5 No.4
,April 19, 2013
DOI:
10.4236/ns.2013.54061
4,126
Downloads
7,014
Views
Citations
Variational Approach to Heat Conduction Modeling
(Articles)
Slavko Đurić
,
Ivan Aranđelović
,
Milan Milotić
Journal of Applied Mathematics and Physics
Vol.12 No.1
,January 30, 2024
DOI:
10.4236/jamp.2024.121018
98
Downloads
325
Views
Citations
Approximate Technique for Solving Class of Fractional Variational Problems
(Articles)
Emad M. Solouma
,
Mohamed M. Khader
Applied Mathematics
Vol.6 No.5
,May 19, 2015
DOI:
10.4236/am.2015.65078
3,733
Downloads
4,809
Views
Citations
Homotopy Analysis Method for Solving Initial Value Problems of Second Order with Discontinuities
(Articles)
Waleed Al-Hayani
,
Rasha Fahad
Applied Mathematics
Vol.10 No.6
,June 17, 2019
DOI:
10.4236/am.2019.106030
818
Downloads
2,604
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
6,463
Downloads
10,279
Views
Citations
A two-parameter mathematical model for immobilizedenzymes and Homotopy analysis method
(Articles)
Rathinasamy Angel Joy
,
Athimoolam Meena
,
Shunmugham Loghambal
,
Lakshmanan Rajendran
Natural Science
Vol.3 No.7
,July 29, 2011
DOI:
10.4236/ns.2011.37078
6,463
Downloads
13,137
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
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