Application of optimal homotopy asymptotic method for solving nonlinear equations arising in heat transfer

V Marinca, N Herişanu - International communications in heat and mass …, 2008 - Elsevier
We consider one of the newest analytical methods, the Optimal Homotopy Asymptotic
Method (OHAM), to solve nonlinear equations arising in heat transfer. Two specific …

The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer

DD Ganji - Physics letters A, 2006 - Elsevier
In this Letter, homotopy perturbation method (HPM), which does not need small parameters
in the equations, is compared with the perturbation and numerical methods in the heat …

Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations

DD Ganji, A Sadighi - … Journal of Nonlinear Sciences and Numerical …, 2006 - degruyter.com
In this article, a new and powerful analytical method, called homotopy-perturbation method
is introduced to solve nonlinear coupled systems of reaction-diffusion equations. The …

[HTML][HTML] Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations

DD Ganji, A Sadighi - Journal of Computational and Applied mathematics, 2007 - Elsevier
Perturbation methods depend on a small parameter which is difficult to be found for real-life
nonlinear problems. To overcome this shortcoming, two new but powerful analytical …

Homotopy analysis method for heat radiation equations

S Abbasbandy - International communications in heat and mass transfer, 2007 - Elsevier
Here, the homotopy analysis method (HAM), one of the newest analytical methods which is
powerful and easy-to-use, is applied to solve heat transfer problems with high nonlinearity …

[PDF][PDF] Approximate analysis of MHD squeeze flow between two parallel disks with suction or injection by homotopy perturbation method

G Domairry, A Aziz - Mathematical Problems in …, 2009 - pdfs.semanticscholar.org
This paper deals with the study of magneto-hydrodynamic MHD squeeze flow of an
electrically conducting fluid between two infinite, parallel disks. The lower disk is stationary …

Differential transformation method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity

AA Joneidi, DD Ganji, M Babaelahi - International Communications in Heat …, 2009 - Elsevier
In this study, fin efficiency of convective straight fins with temperature-dependent thermal
conductivity is solved using a simulation method called the Differential Transformation …

A least squares method for a longitudinal fin with temperature dependent internal heat generation and thermal conductivity

A Aziz, MN Bouaziz - Energy conversion and Management, 2011 - Elsevier
Approximate but highly accurate solutions for the temperature distribution, fin efficiency, and
optimum fin parameter for a constant area longitudinal fin with temperature dependent …

Solitary wave solutions for a generalized Hirota–Satsuma coupled KdV equation by homotopy perturbation method

DD Ganji, M Rafei - Physics Letters A, 2006 - Elsevier
In this Letter, He's homotopy perturbation method (HPM), which does not need small
parameter in the equation is implemented for solving the nonlinear Hirota–Satsuma coupled …

Explicit solutions of Helmholtz equation and fifth-order KdV equation using homotopy perturbation method

M Rafei, DD Ganji - International Journal of Nonlinear Sciences and …, 2006 - degruyter.com
In this article, He's homotopy perturbation method (HPM), which does not need small
parameter in the equation, is implemented to solve the linear Helmholtz partial differential …