Homotopy perturbation method with an auxiliary parameter for nonlinear oscillators
A brief introduction to the development of the homotopy perturbation method is given, and
the main milestones are elucidated with more than 90 references. This paper further …
the main milestones are elucidated with more than 90 references. This paper further …
Solving nonlinear differential equations of Vanderpol, Rayleigh and Duffing by AGM
MR Akbari, DD Ganji, A Majidian… - Frontiers of Mechanical …, 2014 - Springer
In the present paper, three complicated nonlinear differential equations in the field of
vibration, which are Vanderpol, Rayleigh and Duffing equations, have been analyzed and …
vibration, which are Vanderpol, Rayleigh and Duffing equations, have been analyzed and …
Application of the energy balance method to a nonlinear oscillator arising in the microelectromechanical system (MEMS)
Y Fu, J Zhang, L Wan - Current applied physics, 2011 - Elsevier
In this paper, the energy balance method has been successfully used to study a nonlinear
oscillator arising in the microbeam-based microelectromechanical system (MEMS). Firstly …
oscillator arising in the microbeam-based microelectromechanical system (MEMS). Firstly …
[HTML][HTML] An analytical investigation and comparison of oscillating systems with nonlinear behavior using AGM and HPM
H Samadi, NS Mohammadi, M Shamoushaki… - Alexandria Engineering …, 2022 - Elsevier
The purpose of this research is to use the Akbari Ganji Method, abbreviated as AGM, and
the Homotopy Perturbation Method, abbreviated as HPM, to analytically investigate some …
the Homotopy Perturbation Method, abbreviated as HPM, to analytically investigate some …
Investigating Jeffery-Hamel flow with high magnetic field and nanoparticle by HPM and AGM
In this study, the effects of magnetic field and nanoparticle on the Jeffery-Hamel flow are
studied using two powerful analytical methods, Homotopy Perturbation Method (HPM) and a …
studied using two powerful analytical methods, Homotopy Perturbation Method (HPM) and a …
[HTML][HTML] Approximate analysis of two-mass–spring systems and buckling of a column
Max–Min Approach (MMA) is applied to obtain an approximate solution of three practical
cases in terms of a nonlinear oscillation system. After finding maximal and minimal solution …
cases in terms of a nonlinear oscillation system. After finding maximal and minimal solution …
[HTML][HTML] Study on motion of rigid rod on a circular surface using MHPM
In this paper motion of rigid rod on a circular surface is studied analytically. A new analytical
method called modified homotopy perturbation method (MHPM) is applied for solving this …
method called modified homotopy perturbation method (MHPM) is applied for solving this …
A new approximate analytical technique for dual solutions of nonlinear differential equations arising in mixed convection heat transfer in a porous medium
Purpose The purpose of this paper is to present a new approximate analytical procedure to
obtain dual solutions of nonlinear differential equations arising in mixed convection flow in a …
obtain dual solutions of nonlinear differential equations arising in mixed convection flow in a …
[PDF][PDF] Application of max min approach and amplitude frequency formulation to nonlinear oscillation systems
This paper applied the Max-Min Approach (MMA) and Amplitude Frequency Formulation
(AFF) to derive the approximate analytical solution for motion of nonlinear free vibration of …
(AFF) to derive the approximate analytical solution for motion of nonlinear free vibration of …
Series solution of entropy generation toward an isothermal flat plate
A Malvandi, DD Ganji, F Hedayati, HM Kaffash… - Thermal …, 2012 - doiserbia.nb.rs
The steady 2-D boundary layer flow over a flat plate is studied analytically by homotopy
perturbation method to analyze the entropy generation inside the boundary layer with …
perturbation method to analyze the entropy generation inside the boundary layer with …