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

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 t...

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Autors principals: Ali Zakeri, Azim Aminataei, Qodsiyeh Jannati
Format: Artigo
Idioma:Inglês
Publicat: Wiley 2010-01-01
Col·lecció:Discrete Dynamics in Nature and Society
Accés en línia:http://dx.doi.org/10.1155/2010/780207
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