Numerical solution of nonlinear diffusion with finite extinction phenomenon.
Mikula, K. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Mikula, K. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Kačur, J., Remešíková, M., Malengier, B.
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Frolkovič, P. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Jürgen Geiser (2009)
ESAIM: Mathematical Modelling and Numerical Analysis
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Our studies are motivated by a desire to model long-time simulations of possible scenarios for a waste disposal. Numerical methods are developed for solving the arising systems of convection-diffusion-dispersion-reaction equations, and the received results of several discretization methods are presented. We concentrate on linear reaction systems, which can be solved analytically. In the numerical methods, we use large time-steps to achieve long simulation times of about 10 000 years. We...
Tomoeda, Kenji
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Numerical experiments suggest interesting properties in the several fields of fluid dynamics, plasma physics and population dynamics. Among such properties, we may observe the interesting phenomena; that is, the repeated appearance and disappearance phenomena of the region penetrated by the fluid in the flow through a porous media with absorption. The model equation in two dimensional space is written in the form of the initial-boundary value problem for a nonlinear diffusion equation...
Constales, D., Kačur, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Mohamed Mandari, Mohamed Rhoudaf, Ouafa Soualhi (2021)
Applications of Mathematics
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We demonstrate some a priori estimates of a scheme using stabilization and hybrid interfaces applying to partial differential equations describing miscible displacement in porous media. This system is made of two coupled equations: an anisotropic diffusion equation on the pressure and a convection-diffusion-dispersion equation on the concentration of invading fluid. The anisotropic diffusion operators in both equations require special care while discretizing by a finite volume method...