✦ LIBER ✦

Fully discrete arbitrary-order schemes for a model parabolic equation

✍ Scribed by J. Shi

Publisher: John Wiley and Sons
Year: 1994
Tongue: English
Weight: 358 KB
Volume: 19
Category: Article
ISSN: 0271-2091
DOI: 10.1002/fld.1650191106

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✦ Synopsis

A fully discrete methodology is investigated from which two-level, explicit, arbitrary-order, conservative numerical schemes for a model parabolic equation can be derived. To illustrate this, fully discrete three-, five-, seven-and nine-point conservative numerical schemes are presented, revealing that a higher-order scheme has a better stability condition. A method from which high-order numerical schemes for a scalar advection4ilTusion equation can be developed is discussed. This method is based on high-order schemes of both the advection and diffusion equations.

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