scholarly journals Homotopy perturbation method for a limit case Stefan problem governed by fractional diffusion equation

2013 ◽  
Vol 37 (5) ◽  
pp. 3589-3599 ◽  
Author(s):  
Rajeev ◽  
M.S. Kushwaha
Keyword(s):  
Diffusion Equation ◽  
Perturbation Method ◽  
Stefan Problem ◽  
Homotopy Perturbation Method ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Limit Case ◽  
Homotopy Perturbation

scholarly journals Application of He's Homotopy Perturbation Method for Cauchy Problem of Ill-Posed Nonlinear Diffusion Equation

2010 ◽  
Vol 2010 ◽  
pp. 1-10 ◽  
Author(s):  
Ali Zakeri ◽  
Azim Aminataei ◽  
Qodsiyeh Jannati
Keyword(s):  
Cauchy Problem ◽  
Diffusion Equation ◽  
Perturbation Method ◽  
Nonlinear Diffusion ◽  
Homotopy Perturbation Method ◽  
Finite Interval ◽  
Nonlinear Diffusion Equation ◽  
Third Order ◽  
Homotopy Perturbation ◽  
Ill Posed

We consider a Cauchy problem of unidimensional nonlinear diffusion equation on finite interval. This problem is ill-posed and its approximate solution is unstable. We apply the He's homotopy perturbation method (HPM) and obtain the third-order asymptotic expansion. We show that if the conductivity term in diffusion equation has a specified condition, the above solution can be estimated. Finally, a numerical experiment is provided to illustrate the method.

Sign in / Sign up

Export Citation Format

Share Document