Boundary layer flow of nanofluid over an exponentially stretching surface
The steady boundary layer flow of nanofluid over an exponential stretching surface is
investigated analytically. The transport equations include the effects of Brownian motion …
investigated analytically. The transport equations include the effects of Brownian motion …
On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential …
RA Van Gorder, K Vajravelu - Communications in Nonlinear Science and …, 2009 - Elsevier
The Homotopy Analysis Method of Liao [Liao SJ. Beyond perturbation: introduction to the
Homotopy Analysis Method. Boca Raton: Chapman & Hall/CRC Press; 2003] has proven …
Homotopy Analysis Method. Boca Raton: Chapman & Hall/CRC Press; 2003] has proven …
Mathematical properties of ℏ-curve in the frame work of the homotopy analysis method
As it is described in the frame work of the homotopy analysis method (HAM), the
convergence-control parameter is the main auxiliary tool which distinguishes this method …
convergence-control parameter is the main auxiliary tool which distinguishes this method …
[图书][B] Nonlinear flow phenomena and homotopy analysis
K Vajravelu, R Van Gorder - 2013 - Springer
Over the last decade, the homotopy analysis method has come into prevalence as it allows
one to construct reasonably accurate approximations to nonlinear differential equations. A …
one to construct reasonably accurate approximations to nonlinear differential equations. A …
An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials
Z Odibat, A Sami Bataineh - Mathematical methods in the …, 2015 - Wiley Online Library
In this paper, a new adaption of homotopy analysis method is presented to handle nonlinear
problems. The proposed approach is capable of reducing the size of calculations and easily …
problems. The proposed approach is capable of reducing the size of calculations and easily …
A new application of the homotopy analysis method: Solving the Sturm–Liouville problems
S Abbasbandy, A Shirzadi - Communications in Nonlinear Science and …, 2011 - Elsevier
In this paper, the homotopy analysis method (HAM) is applied to numerically approximate
the eigenvalues of the second and fourth-order Sturm–Liouville problems. These …
the eigenvalues of the second and fourth-order Sturm–Liouville problems. These …
A study on the convergence of homotopy analysis method
ZM Odibat - Applied Mathematics and Computation, 2010 - Elsevier
In this study, a reliable approach for convergence of the homotopy analysis method when
applied to nonlinear problems is discussed. First, we present an alternative framework of the …
applied to nonlinear problems is discussed. First, we present an alternative framework of the …
A new multistage spectral relaxation method for solving chaotic initial value systems
In this paper, we present a new pseudospectral method application for solving nonlinear
initial value problems (IVPs) with chaotic properties. The proposed method, called the …
initial value problems (IVPs) with chaotic properties. The proposed method, called the …
Homotopy analysis method for solving fractional Lorenz system
In this paper, a new reliable algorithm called the step homotopy analysis method (SHAM)
based on an adaptation of the standard homotopy-analysis method (HAM) is presented to …
based on an adaptation of the standard homotopy-analysis method (HAM) is presented to …
Predictor homotopy analysis method and its application to some nonlinear problems
S Abbasbandy, E Shivanian - Communications in Nonlinear Science and …, 2011 - Elsevier
The purpose of this paper is to present a kind of analytical method so-called Predictor
homotopy analysis method (PHAM) to predict the multiplicity of the solutions of nonlinear …
homotopy analysis method (PHAM) to predict the multiplicity of the solutions of nonlinear …