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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
5,667
Downloads
9,787
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
9,450
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
9,549
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
1,381
Downloads
2,849
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
1,483
Downloads
3,474
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
3,432
Downloads
4,838
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
3,678
Downloads
5,213
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
4,696
Downloads
8,207
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
7,231
Downloads
13,529
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
7,330
Downloads
21,017
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
4,219
Downloads
8,146
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
3,677
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
7,762
Downloads
13,930
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
4,123
Downloads
7,008
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
96
Downloads
312
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
3,732
Downloads
4,808
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
2,598
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
10,276
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
13,135
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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