On Dual-Finite Volume Methods for Extended Porous Medium Equations
نویسنده
چکیده
This article shows that the unconditional stability of the Dual-Finite Volume Method, which is at least valid for linear problems, is not true for generic nonlinear differential equations including the PMEs unless the coefficient appearing in the numerical fluxes are appropriately evaluated. This article provides a theoretically truly isotone numerical fluxes specialized for solving the PMEs presented, which is still as simple as the conventional fully-upwind counterpart.
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عنوان ژورنال:
- CoRR
دوره abs/1507.05281 شماره
صفحات -
تاریخ انتشار 2015