An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering
JH He - International Journal of Modern Physics B, 2008 - World Scientific
This review is an elementary introduction to the concepts of the recently developed
asymptotic methods and new developments. Particular attention is paid throughout the …
asymptotic methods and new developments. Particular attention is paid throughout the …
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 …
[HTML][HTML] Variational iteration method: new development and applications
JH He, XH Wu - Computers & Mathematics with Applications, 2007 - Elsevier
Variational iteration method has been favourably applied to various kinds of nonlinear
problems. The main property of the method is in its flexibility and ability to solve nonlinear …
problems. The main property of the method is in its flexibility and ability to solve nonlinear …
[HTML][HTML] Homotopy perturbation transform method for nonlinear equations using He's polynomials
Y Khan, Q Wu - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, a combined form of the Laplace transform method with the homotopy
perturbation method is proposed to solve nonlinear equations. This method is called the …
perturbation method is proposed to solve nonlinear equations. This method is called the …
Beyond Adomian polynomials: he polynomials
A Ghorbani - Chaos, Solitons & Fractals, 2009 - Elsevier
The Adomian decomposition method is widely used in approximate calculation. The main
difficulty of the method is to calculate Adomian polynomials, the procedure is very complex …
difficulty of the method is to calculate Adomian polynomials, the procedure is very complex …
Recent development of the homotopy perturbation method
JH He - 2008 - projecteuclid.org
The homotopy perturbation method is extremely accessible to non-mathematicians and
engineers. The method decomposes a complex problem under study into a series of simple …
engineers. The method decomposes a complex problem under study into a series of simple …
[HTML][HTML] An elementary introduction to the homotopy perturbation method
JH He - Computers & Mathematics with Applications, 2009 - Elsevier
An elementary introduction to the homotopy perturbation method - ScienceDirect Skip to
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View …
main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View …
[HTML][HTML] Large amplitude free vibration of nanobeams with various boundary conditions based on the nonlocal elasticity theory
M Şimşek - Composites Part B: Engineering, 2014 - Elsevier
In this paper, a non-classical beam model based on the Eringen's nonlocal elasticity theory
is proposed for nonlinear vibration of nanobeams with axially immovable ends. This non …
is proposed for nonlinear vibration of nanobeams with axially immovable ends. This non …
He's homotopy perturbation method for calculating adomian polynomials
The Adomian method is widely used in approximate calculation, its main demerit is that it is
very difficult and complex to calculate Adomian's polynomials. This paper introduces the …
very difficult and complex to calculate Adomian's polynomials. This paper introduces the …
[PDF][PDF] Approximate analysis of MHD squeeze flow between two parallel disks with suction or injection by homotopy perturbation method
This paper deals with the study of magneto-hydrodynamic MHD squeeze flow of an
electrically conducting fluid between two infinite, parallel disks. The lower disk is stationary …
electrically conducting fluid between two infinite, parallel disks. The lower disk is stationary …