✦ LIBER ✦

On Destabilizing Implicit Factors in Discrete Advection-Diffusion Equations

✍ Scribed by Jean-Marie Beckers

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 227 KB
Volume: 111
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1994.1061

No coin nor oath required. For personal study only.

✦ Synopsis

In the present paper, we find necessary and sufficient stability conditions for a simple one-time step finite difference discretization of an (\mathrm{N})-dimensional advection-diffusion equation. Furthermore, it is shown that when the implicit factors differ in each direction, a strange behavior occurs: By increasing one implicit factor in only one direction, a stable scheme can become unstable. It is thus suggested to use a single implicit direction (for efficient computing), or the same implicit factor in each direction. (c) 1994 Academic Press. Inc.

📜 SIMILAR VOLUMES

A fourth-order accurate, Numerov-type, t

A fourth-order accurate, Numerov-type, three-point finite-difference discretization of electrochemical reaction-diffusion equations on nonuniform (exponentially expanding) spatial grids in one-dimensional space geometry

✍ Lesław K. Bieniasz 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 117 KB 👁 1 views

## Abstract The validity for finite‐difference electrochemical kinetic simulations, of the extension of the Numerov discretization designed by Chawla and Katti [J Comput Appl Math 1980, 6, 189–196] for the solution of two‐point boundary value problems in ordinary differential equations, is examined