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The Extended Non-Elementary Amplitude Functions as Solutions to the Damped Pendulum Equation, the Van der Pol Equation, the Damped Duffing Equation, the Lienard Equation and the Lorenz Equations
(Articles)
Magne Stensland
Journal of Applied Mathematics and Physics
Vol.11 No.11
,November 10, 2023
DOI:
10.4236/jamp.2023.1111218
60
Downloads
211
Views
Citations
Application of the Generalized Simplest Equation Method to the Burgers Equation
(Articles)
Yuexing Bai
,
Sudao Bilige
,
Xiaoqing Gao
,
Jianqing Lü
Journal of Applied Mathematics and Physics
Vol.5 No.1
,January 25, 2017
DOI:
10.4236/jamp.2017.51011
1,356
Downloads
2,414
Views
Citations
The Homotopy Analysis Method for Approximating of Giving Up Smoking Model in Fractional Order
(Articles)
Anwar Zeb
,
M. Ikhlaq Chohan
,
Gul Zaman
Applied Mathematics
Vol.3 No.8
,August 1, 2012
DOI:
10.4236/am.2012.38136
5,300
Downloads
8,693
Views
Citations
Analytical expressions of steady-state concentrations of species in potentiometric and amperometric biosensor
(Articles)
Mayakkannan Sivasankari
,
Lakshmanan Rajendran
Natural Science
Vol.4 No.12
,December 19, 2012
DOI:
10.4236/ns.2012.412132
4,295
Downloads
6,844
Views
Citations
A Modified Homotopy Analysis Method for Solving Boundary Layer Equations
(Articles)
Yinlong Zhao
,
Zhiliang Lin
,
Shijun Liao
Applied Mathematics
Vol.4 No.1
,January 25, 2013
DOI:
10.4236/am.2013.41003
6,147
Downloads
10,526
Views
Citations
Homotopy Analysis of MHD Free Convective Micropolar Fluid Flow along a Vertical Surface Embedded in Non-Darcian Thermally-Stratified Medium
(Articles)
Olubode Kolade Koriko
,
Tosin Oreyeni
,
Adeola John Omowaye
,
Isaac Lare Animasaun
Open Journal of Fluid Dynamics
Vol.6 No.3
,September 16, 2016
DOI:
10.4236/ojfd.2016.63016
1,401
Downloads
2,644
Views
Citations
Insight into Dynamics of Hydromagnetic Flow of Micropolar Fluid Containing Nanoparticles and Gyrotactic Microorganisms at Weak and Strong Concentrations of Microelements: Homotopy Analysis Method
(Articles)
Olubode Kolade Koriko
,
Adeola John Omowaye
,
Amos Oladele Popoola
,
Tosin Oreyeni
,
Abigail Ayooye Adegbite
,
Emmanuel Abiodun Oni
,
Emmanuel Omokhuale
,
Muhammad Muhammad Altine
American Journal of Computational Mathematics
Vol.12 No.2
,June 28, 2022
DOI:
10.4236/ajcm.2022.122017
143
Downloads
637
Views
Citations
A Compact Difference Method for Viscoelastic Plate Vibration Equation
(Articles)
Cailian Wu
,
Congcong Wei
,
Ailing Zhu
Engineering
Vol.13 No.11
,November 30, 2021
DOI:
10.4236/eng.2021.1311045
164
Downloads
687
Views
Citations
Existence and Nonexistence of Global Solutions of a Fully Nonlinear Parabolic Equation
(Articles)
Zhihao Ge
Advances in Pure Mathematics
Vol.3 No.1
,January 21, 2013
DOI:
10.4236/apm.2013.31004
4,793
Downloads
7,507
Views
Citations
A Family of Methods for Solving Nonlinear Equations with Twelfth-Order Convergence
(Articles)
Xilan Liu
,
Xiaorui Wang
Applied Mathematics
Vol.4 No.2
,February 27, 2013
DOI:
10.4236/am.2013.42049
4,262
Downloads
8,470
Views
Citations
Simpson’s Method for Solution of Nonlinear Equation
(Articles)
Hamideh Eskandari
Applied Mathematics
Vol.8 No.7
,July 14, 2017
DOI:
10.4236/am.2017.87073
7,364
Downloads
9,684
Views
Citations
A New Analytical Study of Modified Camassa-Holm and Degasperis-Procesi Equations
(Articles)
Majeed A. Yousif
,
Bewar A. Mahmood
,
Fadhil H. Easif
American Journal of Computational Mathematics
Vol.5 No.3
,August 31, 2015
DOI:
10.4236/ajcm.2015.53024
4,648
Downloads
5,790
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
3,181
Downloads
5,441
Views
Citations
Quintic B-Spline Method for Solving Sharma Tasso Oliver Equation
(Articles)
Talaat S. Eldanaf
,
Mohamed Elsayed
,
Mahmoud A. Eissa
,
Faisal Ezz-Eldeen Abd Alaal
Journal of Applied Mathematics and Physics
Vol.10 No.12
,December 30, 2022
DOI:
10.4236/jamp.2022.1012258
116
Downloads
629
Views
Citations
Research on Chaos of Nonlinear Singular Integral Equation
(Articles)
Yannan Liu
,
Yu Wang
Journal of Applied Mathematics and Physics
Vol.11 No.4
,April 28, 2023
DOI:
10.4236/jamp.2023.114075
56
Downloads
231
Views
Citations
A Cubic Spline Method for Solving a Unilateral Obstacle Problem
(Articles)
El Bekkey Mermri
,
Abdelhafid Serghini
,
Abdelmajid El hajaji
,
Khalid Hilal
American Journal of Computational Mathematics
Vol.2 No.3
,September 28, 2012
DOI:
10.4236/ajcm.2012.23028
3,931
Downloads
6,971
Views
Citations
New Exact Explicit Solutions of the Generalized Zakharov Equation via the First Integral Method
(Articles)
Yuhuai Sun
,
Hanlei Hu
,
Jian Zhang
Open Journal of Applied Sciences
Vol.4 No.5
,April 17, 2014
DOI:
10.4236/ojapps.2014.45025
3,494
Downloads
5,375
Views
Citations
Analytic algorithms for Some Models of Nonlinear Age–Structured Population Dynamics and Epidemiology
(Articles)
Vipul K. Baranwal
,
Ram K. Pandey
,
Manoj P. Tripathi
,
Om. P. Singh
Journal of Modern Physics
Vol.2 No.4
,April 22, 2011
DOI:
10.4236/jmp.2011.24033
5,179
Downloads
10,222
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
7,232
Downloads
13,532
Views
Citations
A Comparative Study of Adomain Decompostion Method and He-Laplace Method
(Articles)
Badradeen A. A. Adam
Applied Mathematics
Vol.5 No.21
,December 1, 2014
DOI:
10.4236/am.2014.521312
5,586
Downloads
6,849
Views
Citations
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