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Stability analysis of three-level difference schemes for initial-boundary problems for multidimensional convective-diffusion equations

✍ Scribed by Kwok, Yue-Kuen ;Tam, Kin-Kiu


Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
472 KB
Volume
9
Category
Article
ISSN
1069-8299

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✦ Synopsis


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 stability analysis for Dirichlet boundary‐value problems. Discrepancies on time‐step restriction between von Neumann stability analysis and matrix stability analysis are observed.