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 …
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 …
Pull-down instability of the quadratic nonlinear oscillators
JH He, Q Yang, CH He… - Facta Universitatis …, 2023 - casopisi.junis.ni.ac.rs
A nonlinear vibration system, over a span of convincing periodic motion, might break out
abruptly a catastrophic instability, but the lack of a theoretical tool has obscured the …
abruptly a catastrophic instability, but the lack of a theoretical tool has obscured the …
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
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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 …
Generalized solitary solution and compacton-like solution of the Jaulent–Miodek equations using the Exp-function method
JH He, LN Zhang - Physics Letters A, 2008 - Elsevier
A new generalized solitary solution of the Jaulent–Miodek equations is obtained using the
Exp-function method. By a transformation, the solitary solution can be easily converted into a …
Exp-function method. By a transformation, the solitary solution can be easily converted into a …
Solutions of Emden–Fowler equations by homotopy-perturbation method
In this paper, approximate and/or exact analytical solutions of the generalized Emden–
Fowler type equations in the second-order ordinary differential equations (ODEs) are …
Fowler type equations in the second-order ordinary differential equations (ODEs) are …
Solving fractional diffusion and wave equations by modified homotopy perturbation method
This Letter applies the modified He's homotopy perturbation method (HPM) suggested by
Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and …
Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and …
[HTML][HTML] Solutions of non-linear oscillators by the modified differential transform method
A numerical method for solving nonlinear oscillators is proposed. The proposed scheme is
based on the differential transform method (DTM), Laplace transform and Padé …
based on the differential transform method (DTM), Laplace transform and Padé …