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

Ali Zakeri, Azim Aminataei and Qodsiyeh Jannati

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-10

Abstract:

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:780207

DOI: 10.1155/2010/780207

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