NDLI: Approximation of the Solution to a System Modeling Heatless Adsorption of Gases

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Bourdarias, C.
Copyright Year	1998
Abstract	We present both time and space-time explicit approximation schemes for a system of first-order nonlinear transport PDEs used as a model in chemical engineering. For the time discretization, using a splitting, we introduce an intermediate spatial regularization step to obtain some bounded variation (BV) estimates for the approximate solutions (with BV initial data), and we get an $O(\Delta t^{1/2})$ $L^1$ convergence rate. With respect to the fully discrete finite volume scheme, we show that it is possible to get such estimates without any regularization step because of the dissipative effect of the upwind scheme used to treat the transport part of the equations. This scheme is convergent.
Starting Page	13
Ending Page	30
Page Count	18
File Format	PDF
ISSN	00361429
DOI	10.1137/S0036142993248249
e-ISSN	10957170
Issue Number	1
Volume Number	35
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-25
Access Restriction	Subscribed
Subject Keyword	transport equations Stability and convergence of numerical methods Conservation laws Models, numerical methods Error bounds finite volume schemes convergence rate BV estimates chemical engineering
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Numerical Analysis Computational Mathematics

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