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2009, Volume 2009: 486-495. Doi: 10.3934/proc.2009.2009.486 open access
This issue Previous Article Generalized solutions of a non-isothermal phase separation model Next Article A robust finite element method for singularly perturbed convection-diffusion problems

Approximating problems of vectorial singular diffusion equations with inhomogeneous terms and numerical simulations

  • 1.

    Department of Mathematics, Graduate School of Science, Hokkaido University, Kita 10, Nishi 8,, Kita-ku, Sapporo, Hokkaido, 060-0810

  • 2.

    Department of Mathematics, Faculty of Engineering, Kanagawa University, 3-27-1 Rokkakubashi, Kanagawa-ku, Yokohama, 221-8686

Received:  July 2008
Revised:  April 2009
Published:  September 2009
Abstract / Introduction Related Papers Cited by
    Abstract
  • We consider a vectorial nonlinear diffusion equation with inhomogeneous terms in one-dimensional space. In this paper we study approximating problems of singular diffusion equations with a piecewise constant initial data. Also we consider the relationship between the singular diffusion problem and its approximating ones. Moreover we give some numerical experiments for the approximating equation with inhomogeneous terms and a piecewise constant initial data.
    Mathematics Subject Classification: Primary: 35K55, 65M99; Secondary: 35R35.

    Citation:
    shu

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