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An optimal homotopy-analysis approach for strongly nonlinear differential equations
S Liao - Communications in Nonlinear Science and Numerical …, 2010 - Elsevier
In this paper, an optimal homotopy-analysis approach is described by means of the
nonlinear Blasius equation as an example. This optimal approach contains at most three …
nonlinear Blasius equation as an example. This optimal approach contains at most three …
Notes on the homotopy analysis method: some definitions and theorems
S Liao - Communications in Nonlinear Science and Numerical …, 2009 - Elsevier
We describe, very briefly, the basic ideas and current developments of the homotopy
analysis method, an analytic approach to get convergent series solutions of strongly …
analysis method, an analytic approach to get convergent series solutions of strongly …
Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet
M Sajid, T Hayat - International Communications in Heat and Mass …, 2008 - Elsevier
The effect of radiation on the boundary layer flow and heat transfer of a viscous fluid over an
exponentially stretching sheet is studied. The homotopy analysis method (HAM) is employed …
exponentially stretching sheet is studied. The homotopy analysis method (HAM) is employed …
A general approach to obtain series solutions of nonlinear differential equations
S Liao, Y Tan - Studies in Applied Mathematics, 2007 - Wiley Online Library
Based on homotopy, which is a basic concept in topology, a general analytic method
(namely the homotopy analysis method) is proposed to obtain series solutions of nonlinear …
(namely the homotopy analysis method) is proposed to obtain series solutions of nonlinear …
The application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation
S Abbasbandy - Physics Letters A, 2007 - Elsevier
Here, an analytic technique, namely the homotopy analysis method (HAM), is applied to
solve a generalized Hirota–Satsuma coupled KdV equation. HAM is a strong and easy-to …
solve a generalized Hirota–Satsuma coupled KdV equation. HAM is a strong and easy-to …
[HTML][HTML] Analytically pricing double barrier options based on a time-fractional Black–Scholes equation
This paper investigates the pricing of double barrier options when the price change of the
underlying is considered as a fractal transmission system. In this scenario, the option price is …
underlying is considered as a fractal transmission system. In this scenario, the option price is …
MHD flow of a micropolar fluid near a stagnation-point towards a non-linear stretching surface
The two-dimensional magnetohydrodynamic (MHD) stagnation-point flow of an
incompressible micropolar fluid over a non-linear stretching surface is studied. The resulting …
incompressible micropolar fluid over a non-linear stretching surface is studied. The resulting …
MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surface
The present analysis comprises the steady two-dimensional magnetohydrodynamic flow of
an upper-convected Maxwell fluid near a stagnation-point over a stretching surface. The …
an upper-convected Maxwell fluid near a stagnation-point over a stretching surface. The …
Series solutions of non-linear Riccati differential equations with fractional order
In this paper, based on the homotopy analysis method (HAM), a new analytic technique is
proposed to solve non-linear Riccati differential equation with fractional order. Different from …
proposed to solve non-linear Riccati differential equation with fractional order. Different from …
A general approach to get series solution of non-similarity boundary-layer flows
SJ Liao - Communications in Nonlinear Science and Numerical …, 2009 - Elsevier
An analytic method for strongly non-linear problems, namely the homotopy analysis method
(HAM), is applied to give convergent series solution of non-similarity boundary-layer flows …
(HAM), is applied to give convergent series solution of non-similarity boundary-layer flows …