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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
3,931
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
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
9,788
Views
Citations
Study on Vibration Characteristics of Stay Cable-Nonlinear Viscous Damper System
(Articles)
Xiaolong Li
,
Kai Zhao
Open Journal of Civil Engineering
Vol.12 No.2
,April 18, 2022
DOI:
10.4236/ojce.2022.122010
195
Downloads
795
Views
Citations
An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite-Gauss nodes
(Articles)
Ali Pirkhedri
,
Parisa Daneshjoo
,
Hamid Haj Seyyed Javadi
,
Hamid Navidi
,
Salem Khodamoradi
,
Kamal Ghaderi
International Journal of Astronomy and Astrophysics
Vol.1 No.2
,June 30, 2011
DOI:
10.4236/ijaa.2011.12010
4,940
Downloads
10,634
Views
Citations
An Interval Matrix Based Generalized Newton Method for Linear Complementarity Problems
(Articles)
Hai-Shan Han
,
Lan-Ying
Open Journal of Applied Sciences
Vol.5 No.8
,August 12, 2015
DOI:
10.4236/ojapps.2015.58044
2,371
Downloads
3,020
Views
Citations
New Generalized (G'/G)-Expansion Method Applications to Coupled Konno-Oono Equation
(Articles)
Md. Nur Alam
,
Fethi Bin Muhammad Belgacem
Advances in Pure Mathematics
Vol.6 No.3
,February 29, 2016
DOI:
10.4236/apm.2016.63014
3,620
Downloads
5,357
Views
Citations
This article belongs to the Special Issue on
Fractional Differential, Integral and Integro-Differential Equations Research
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
Analytical Solution for the Time-Dependent Emden-Fowler Type of Equations by Homotopy Analysis Method with Genetic Algorithm
(Articles)
Waleed Al-Hayani
,
Laheeb Alzubaidy
,
Ahmed Entesar
Applied Mathematics
Vol.8 No.5
,May 25, 2017
DOI:
10.4236/am.2017.85055
1,145
Downloads
2,121
Views
Citations
Stability Analysis of Periodic Solutions of Some Duffing’s Equations
(Articles)
E. O. Eze
,
U. E. Obasi
,
E. U. Agwu
Open Journal of Applied Sciences
Vol.9 No.4
,April 23, 2019
DOI:
10.4236/ojapps.2019.94017
1,279
Downloads
2,907
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
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
3,342
Downloads
4,361
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
Analysis on the Propagation of the Fiber-Optic Signals in the Perturbed Nonlinear Schrödinger Equation
(Articles)
Qianqian Xing
,
Jiuli Yin
,
Lixin Tian
Open Access Library Journal
Vol.1 No.8
,November 14, 2014
DOI:
10.4236/oalib.1100721
1,198
Downloads
1,607
Views
Citations
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
(Articles)
Taher A. Nofal
,
Gamal M. Ismail
,
Sayed Abdel-Khalek
Journal of Modern Physics
Vol.4 No.11
,November 22, 2013
DOI:
10.4236/jmp.2013.411179
3,957
Downloads
5,981
Views
Citations
The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term
(Articles)
Yuting Sun
,
Yunlong Gao
,
Guoguang Lin
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.4
,November 28, 2016
DOI:
10.4236/ijmnta.2016.54019
1,498
Downloads
2,292
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
Solitary Wave Solutions and Rational Solutions for Modified Zakharov-Kuznetsov Equation with Initial Value Problem
(Articles)
Zhongzhou Dong
,
Ling Wang
Journal of Applied Mathematics and Physics
Vol.6 No.5
,May 15, 2018
DOI:
10.4236/jamp.2018.65081
618
Downloads
1,479
Views
Citations
This article belongs to the Special Issue on
Applications of Mathematical Theory and Equations in Physics
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
5,885
Downloads
8,620
Views
Citations
Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator
(Articles)
T. A. Nofel
Applied Mathematics
Vol.5 No.6
,April 2, 2014
DOI:
10.4236/am.2014.56081
7,908
Downloads
10,489
Views
Citations
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