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The approximate solution of a nonlinear diffusion equation using some techniques, a comparison study
Journal article   Peer reviewed

The approximate solution of a nonlinear diffusion equation using some techniques, a comparison study

Magdy A. El-Tawil and Noha A. Al-Mulla
Journal of applied mathematics & computing, Vol.29(1-2), pp.281-299
01/01/2009
DOI: https://doi.org/10.1007/s12190-008-0130-8

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, the diffusion equation under square nonlinearity is solved using the WHEP technique, the Homotopy perturbation method (HPM) and Pickard approximation technique. Only the first order approximation is considered with making corrections in the WHEP case. The methods of solution are illustrated through figures, comparisons among different methods and some parametric studies.

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