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

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  • 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.

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