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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
3,971
Downloads
5,740
Views
Citations
Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders
(Articles)
Fatheah Alhendi
,
Wafa Shammakh
,
Hind Al-Badrani
Open Journal of Applied Sciences
Vol.7 No.4
,April 30, 2017
DOI:
10.4236/ojapps.2017.74014
1,755
Downloads
3,568
Views
Citations
Numerical Solution of Fractional Differential Equations
(Articles)
Adnan Daraghmeh
,
Naji Qatanani
,
Aya Saadeh
Applied Mathematics
Vol.11 No.11
,November 13, 2020
DOI:
10.4236/am.2020.1111074
1,597
Downloads
7,099
Views
Citations
Simple Singular Perturbation Problems with Turning Points
(Articles)
Na Wang
Journal of Applied Mathematics and Physics
Vol.7 No.12
,December 9, 2019
DOI:
10.4236/jamp.2019.712208
587
Downloads
1,595
Views
Citations
An index for evaluating distance of a healthy heart from Sino-Atrial blocking arrhythmia
(Articles)
Hossein Gholizade-Narm
,
Morteza Khademi
,
Asad Azemi
,
Masoud Karimi-Ghartemani
Journal of Biomedical Science and Engineering
Vol.3 No.3
,April 9, 2010
DOI:
10.4236/jbise.2010.33042
4,569
Downloads
8,154
Views
Citations
Fourier-Bessel Expansions with Arbitrary Radial Boundaries
(Articles)
Muhammad A. Mushref
Applied Mathematics
Vol.1 No.1
,June 2, 2010
DOI:
10.4236/am.2010.11003
10,378
Downloads
17,327
Views
Citations
General Boundary Value Problems for Nonlinear Uniformly Elliptic Equations in Multiply Connected Infinite Domains
(Articles)
Guochun Wen
,
Yanhui Zhang
,
Dechang Chen
Int'l J. of Modern Nonlinear Theory and Application
Vol.2 No.3
,August 30, 2013
DOI:
10.4236/ijmnta.2013.23024
2,841
Downloads
4,743
Views
Citations
Numerical Solution of Blasius Equation through Neural Networks Algorithm
(Articles)
Iftikhar Ahmad
,
Muhammad Bilal
American Journal of Computational Mathematics
Vol.4 No.3
,June 24, 2014
DOI:
10.4236/ajcm.2014.43019
6,382
Downloads
9,414
Views
Citations
Existence of Positive Solutions to Semipositone Fractional Differential Equations
(Articles)
Xinsheng Du
Applied Mathematics
Vol.7 No.14
,August 17, 2016
DOI:
10.4236/am.2016.714127
1,866
Downloads
2,943
Views
Citations
Inverse Problems for Difference Equations with Quadratic Eigenparameter Dependent Boundary Conditions-II
(Articles)
Sonja Currie
,
Anne Love
Advances in Pure Mathematics
Vol.6 No.10
,September 12, 2016
DOI:
10.4236/apm.2016.610051
1,486
Downloads
2,185
Views
Citations
This article belongs to the Special Issue on
The Initial Conditions and Boundary Conditions and Its Application
Application of Differential Transformation Method to Boundary Value Problems of Order Seven and Eight
(Articles)
R. B. Ogunrinde
,
O. M. Ojo
American Journal of Computational Mathematics
Vol.8 No.3
,September 29, 2018
DOI:
10.4236/ajcm.2018.83022
1,197
Downloads
3,444
Views
Citations
Shock Fronts in Non-Polar Electro-Conducting Media
(Articles)
Michael Grinfeld
,
Pavel Grinfeld
Journal of Applied Mathematics and Physics
Vol.10 No.4
,April 7, 2022
DOI:
10.4236/jamp.2022.104072
86
Downloads
384
Views
Citations
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
4,350
Downloads
6,616
Views
Citations
Numerical Solution of Singularly Perturbed Two-Point Boundary Value Problem via Liouville-Green Transform
(Articles)
Hradyesh Kumar Mishra
,
Sonali Saini
American Journal of Computational Mathematics
Vol.3 No.1
,March 26, 2013
DOI:
10.4236/ajcm.2013.31001
6,138
Downloads
11,441
Views
Citations
Analytical solution of coupled non-linear second order differential equations in enzyme kinetics
(Articles)
Govindhan Varadharajan
,
Lakshmanan Rajendran
Natural Science
Vol.3 No.6
,June 22, 2011
DOI:
10.4236/ns.2011.36063
8,487
Downloads
18,770
Views
Citations
Analytical Solutions of System of Non-Linear Differential Equations in the Single-Enzyme, Single-Substrate Reaction with Non-Mechanism-Based Enzyme Inactivation
(Articles)
Govindhan Varadharajan
,
Lakshmanan Rajendran
Applied Mathematics
Vol.2 No.9
,September 19, 2011
DOI:
10.4236/am.2011.29158
4,448
Downloads
8,434
Views
Citations
Stochastic Oscillators with Quadratic Nonlinearity Using WHEP and HPM Methods
(Articles)
Amnah S. Al-Johani
American Journal of Computational Mathematics
Vol.3 No.3
,August 14, 2013
DOI:
10.4236/ajcm.2013.33027
3,201
Downloads
5,350
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
4,680
Downloads
7,592
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
7,927
Downloads
10,230
Views
Citations
RETRACTED:Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation
(Articles)
Amr M. S. Mahdy
,
Adel S. Mohamed
,
Ahmad A. H. Mtawa
Applied Mathematics
Vol.6 No.1
,January 14, 2015
DOI:
10.4236/am.2015.61014
4,925
Downloads
6,149
Views
Citations
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