scholarly journals Homotopy perturbation method for viscous heating in plane Couette flow

2013 ◽  
Vol 17 (5) ◽  
pp. 1355-1360 ◽  
Author(s):  
Yin-Shan Yun ◽  
Chaolu Temuer
Keyword(s):  
Perturbation Method ◽  
Exact Solutions ◽  
Couette Flow ◽  
Taylor Series ◽  
Homotopy Perturbation Method ◽  
Viscous Heating ◽  
Plane Couette Flow ◽  
Homotopy Perturbation ◽  
Non Linear

In this paper, the problem of viscous heating in plane Couette flow is considered by the homotopy perturbation method. The non-linear terms are expanded to Taylor series of the homotopy parameter. The obtained solutions are shown graphically and are compared with the exact solutions. The obtained results illustrate the efficiency and convenience of the method.

scholarly journals Homotopy Perturbation Method

2017 ◽  
pp. 24-61
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Perturbation Method ◽  
Exact Solutions ◽  
Homotopy Perturbation Method ◽  
Numerical Solutions ◽  
Nonlinear Differential Equations ◽  
Homotopy Perturbation ◽  
Wide Range ◽  
Transfer Problems

The homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. It has been attempted to show the capabilities and wide-range applications of the homotopy perturbation method in comparison with the previous ones in solving heat transfer problems. The obtained solutions, in comparison with the exact solutions admit a remarkable accuracy. A clear conclusion can be drawn from the numerical results that the HPM provides highly accurate numerical solutions for nonlinear differential equations.

The Homotopy-Perturbation Method for Solving Klein-Gordon-Type Equations with Unbounded Right- Hand Side

2009 ◽  
Vol 64 (1-2) ◽  
pp. 149-152 ◽  
Author(s):  
Afgan Aslanov
Keyword(s):  
Perturbation Method ◽  
Exact Solutions ◽  
Homotopy Perturbation Method ◽  
Initial Conditions ◽  
Homotopy Perturbation ◽  
Right Hand ◽  
Klein Gordon ◽  
New Type ◽  
Solvable Problems

The approximate and/or exact solutions of the generalized Klein-Gordon- and sine-Gordon-type equations are obtained. We introduce a new type of initial conditions to extend the class of solvable problems

Sign in / Sign up

Export Citation Format

Share Document