Error estimates for the finite volume discretization for the porous medium equation
نویسندگان
چکیده
In this paper we analyze the convergence of a numerical scheme for a class of degenerate parabolic problems. Such problems are often used to model reactions in porous media, and involve a nonlinear, possibly vanishing diffusion. The scheme considered here involves the Kirchhoff transformation coupled with the regularization of the nonlinearity, and is based on the Euler implicit time stepping and the triangle based finite volume spatial discretization. We prove the convergence of the approach by giving estimates for the error in terms of the discretization and regularization parameter.
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عنوان ژورنال:
- J. Computational Applied Mathematics
دوره 234 شماره
صفحات -
تاریخ انتشار 2010