scholarly journals Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations

2007 ◽  
Vol 207 (1) ◽  
pp. 24-34 ◽  
Author(s):  
D.D. Ganji ◽  
A. Sadighi
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Variational Iteration ◽  
Homotopy Perturbation ◽  
Nonlinear Heat Transfer ◽  
Porous Media Equations ◽  
Iteration Methods

scholarly journals Modified homotopy perturbation method coupled with Laplace transform for fractional heat transfer and porous media equations

2013 ◽  
Vol 17 (5) ◽  
pp. 1409-1414 ◽  
Author(s):  
Li-Mei Yan
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Laplace Transform ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Homotopy Perturbation ◽  
The Laplace Transform ◽  
Porous Media Equations ◽  
Fractional Differential ◽  
Linear Fractional Differential Equations

The purpose of this paper is to extend the homotopy perturbation method to fractional heat transfer and porous media equations with the help of the Laplace transform. The fractional derivatives described in this paper are in the Caputo sense. The algorithm is demonstrated to be direct and straightforward, and can be used for many other non-linear fractional differential equations.

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