The averaging perturbation method for the dominant behaviour analysis of adiabatic single-controlled oscillators

1993 ◽  
Vol 21 (5) ◽  
pp. 425-436 ◽  
Author(s):  
Antonino M. Sommariva
Keyword(s):  
Perturbation Method ◽  
Behaviour Analysis

Decision Behaviour, Analysis and Support

2009 ◽  
Author(s):  
Simon French ◽  
John Maule ◽  
Nadia Papamichail
Keyword(s):  
Behaviour Analysis

On Spectral-Homotopy Perturbation Method Solution of Nonlinear Differential Equations in Bounded Domains

2013 ◽  
Vol 1 (1) ◽  
pp. 25-37
Author(s):  
Ahmed A. Khidir
Keyword(s):  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Nonlinear Boundary ◽  
Nonlinear Differential Equations ◽  
Iteration Algorithm ◽  
Test Problems ◽  
Nonlinear Boundary Value Problems ◽  
Homotopy Perturbation ◽  
Spectral Technique ◽  
Homotopy Analysis

In this study, a combination of the hybrid Chebyshev spectral technique and the homotopy perturbation method is used to construct an iteration algorithm for solving nonlinear boundary value problems. Test problems are solved in order to demonstrate the efficiency, accuracy and reliability of the new technique and comparisons are made between the obtained results and exact solutions. The results demonstrate that the new spectral homotopy perturbation method is more efficient and converges faster than the standard homotopy analysis method. The methodology presented in the work is useful for solving the BVPs consisting of more than one differential equation in bounded domains. 

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