## Abstract A systematic procedure is presented to derive stability conditions for leap‐frog‐type finite‐difference schemes for the multidimensional constant‐coefficient convective‐diffusion equation. The treatise includes von Neumann stability analysis for pure initial‐value problems and matrix st
✦ LIBER ✦
Analysis of error growth for explicit difference schemes in conduction–convection problems
✍ Scribed by D. F. Griffiths; I. Christie; A. R. Mitchell
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 256 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
Abstract
A detailed study is made of the error growth associated with explicit difference schemes for a conduction‐convection problem. It is shown that the error can become arbitrarily large after a finite number of time steps even though it ultimately decays to zero. Certain ambiguities reported in the literature can thereby be resolved.
📜 SIMILAR VOLUMES
Stability analysis of three-level differ
✍
Kwok, Yue-Kuen ;Tam, Kin-Kiu
📂
Article
📅
1993
🏛
John Wiley and Sons
🌐
English
⚖ 472 KB
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