scholarly journals Analytical Study for the Nonlinear Vibrations of Multiwalled Carbon Nanotubes using Homotopy Analysis Method

2014 ◽  
Vol 8 (4) ◽  
pp. 1675-1684 ◽  
Author(s):  
M. M. Khader ◽  
N. H. Sweilam ◽  
Z. I. EL-Sehrawy ◽  
S. A. Ghwail
Keyword(s):  
Carbon Nanotubes ◽  
Multiwalled Carbon Nanotubes ◽  
Homotopy Analysis Method ◽  
Analytical Study ◽  
Nonlinear Vibrations ◽  
Analysis Method ◽  
Multiwalled Carbon ◽  
Homotopy Analysis

scholarly journals Two Species Commensalism Model with Harvesting by Homotopy Analysis Method

2019 ◽  
Vol 8 (2S11) ◽  
pp. 3584-3588
Keyword(s):  
Linear System ◽  
Homotopy Analysis Method ◽  
Series Solution ◽  
Analytical Study ◽  
Analysis Method ◽  
Linear Ordinary Differential Equations ◽  
Commensal Species ◽  
Non Linear ◽  
Homotopy Analysis ◽  
Non Linear System

In the present investigation a two species commensalism model was taken up for detailed analytical study in which commensal species was harvested at a rate proportional to its strength. The system under investigation was represented by a coupled non linear ordinary differential equations. The series solution of the non-linear system was approximated by Homotopy Analysis Method.

scholarly journals The carbon-nanotube nanofluid sprayed on an unsteady stretching cylinder together with entropy generation

2019 ◽  
Vol 11 (12) ◽  
pp. 168781401989445 ◽  
Author(s):  
Taza Gul ◽  
Muhammad Waqas ◽  
Waqas Noman ◽  
Zafar Zaheer ◽  
Iraj S Amiri
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Thin Layer ◽  
Entropy Generation ◽  
Homotopy Analysis Method ◽  
Single Wall Carbon Nanotubes ◽  
Bejan Number ◽  
Analysis Method ◽  
Optimal Homotopy Analysis Method ◽  
Homotopy Analysis

The water-based single- and multiple-wall carbon nanotubes nanofluid over the surface of an unsteady stretched cylinder has been studied. The thin film of the carbon-nanotube nanofluid has been focused for the heat transfer enhancement applications. The well-known thermal conductivity model for the revolving tube materials like single- and multiple-walled carbon nanotubes defined by Xue were used. The modeled problem has been solved through the optimal homotopy analysis method using the BVPh 2.0 package. The distribution of the thin layer has been regulated through the pressure term using the variable thickness of the nanoliquid. The entropy generation has mainly focused during the motion of the thin layer for the both sorts of carbon nanotubes. The important features of the entropy generation and Bejan number under the influence of the physical constraints have been compared for the both types of single-wall carbon nanotubes and multiple-wall carbon nanotubes and discussed. The well-known BVPh 2.0 package of the optimal homotopy analysis method has been used to find the outcomes.

scholarly journals An Analytical Study for (2 + 1)-Dimensional Schrödinger Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Behzad Ghanbari
Keyword(s):  
Exact Solution ◽  
Exact Solutions ◽  
Homotopy Analysis Method ◽  
Schrodinger Equation ◽  
Analytical Study ◽  
Alternative Methods ◽  
Analysis Method ◽  
Small Parameters ◽  
Homotopy Analysis ◽  
Good Agreement

In this paper, the homotopy analysis method has been applied to solve (2 + 1)-dimensional Schrödinger equations. The validity of this method has successfully been accomplished by applying it to find the solution of some of its variety forms. The results obtained by homotopy analysis method have been compared with those of exact solutions. The main objective is to propose alternative methods of finding a solution, which do not require small parameters and avoid linearization and physically unrealistic assumptions. The results show that the solution of homotopy analysis method is in a good agreement with the exact solution.

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