Computer Science – Numerical Analysis
Scientific paper
2010-05-31
Computer Science
Numerical Analysis
12 pages, 2 figures
Scientific paper
Various classes of stable finite difference schemes can be constructed to obtain a numerical solution. It is important to select among all stable schemes such a scheme that is optimal in terms of certain additional criteria. In this study, we use a simple boundary value problem for a one-dimensional parabolic equation to discuss the selection of an approximation with respect to time. We consider the pure diffusion equation, the pure convective transport equation and combined convection-diffusion phenomena. Requirements for the unconditionally stable finite difference schemes are formulated that are related to retaining the main features of the differential problem. The concept of SM stable finite difference scheme is introduced. The starting point are difference schemes constructed on the basis of the various Pad$\acute{e}$ approximations.
No associations
LandOfFree
SM stability for time-dependent problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with SM stability for time-dependent problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and SM stability for time-dependent problems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-628036