Some asymptotic methods for strongly nonlinear equations
JH He - International journal of Modern physics B, 2006 - World Scientific
This paper features a survey of some recent developments in asymptotic techniques, which
are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the …
are valid not only for weakly nonlinear equations, but also for strongly ones. Further, 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 …
An efficient analytical approach for fractional equal width equations describing hydro-magnetic waves in cold plasma
In this paper, we present a coupling of homotopy perturbation technique and sumudu
transform known as homotopy perturbation sumudu transform method (HPSTM). We show …
transform known as homotopy perturbation sumudu transform method (HPSTM). We show …
Caputo type fractional operator applied to Hepatitis B system
In our research work, we develop the analysis of a noninteger-order model for hepatitis B
(HBV) under singular type Caputo fractional-order derivative. We investigated our proposed …
(HBV) under singular type Caputo fractional-order derivative. We investigated our proposed …
A Casson nanofluid flow within the conical gap between rotating surfaces of a cone and a horizontal disc
The present study highlights the flow of an incompressible nanofluid following the non-
Newtonian flow. The non-Newtonian fluid behavior is characterized by the Casson …
Newtonian flow. The non-Newtonian fluid behavior is characterized by the Casson …
[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 …
Modified homotopy perturbation method: application to quadratic Riccati differential equation of fractional order
In this paper, a modification of He's homotopy perturbation method is presented. The new
modification extends the application of the method to solve nonlinear differential equations …
modification extends the application of the method to solve nonlinear differential equations …
Homotopy perturbation method for nonlinear partial differential equations of fractional order
The aim of this Letter is to present an efficient and reliable treatment of the homotopy
perturbation method (HPM) for nonlinear partial differential equations with fractional time …
perturbation method (HPM) for nonlinear partial differential equations with fractional time …
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 …
On the local fractional wave equation in fractal strings
The key aim of the present study is to attain nondifferentiable solutions of extended wave
equation by making use of a local fractional derivative describing fractal strings by applying …
equation by making use of a local fractional derivative describing fractal strings by applying …