ISSN:
0271-2091
Keywords:
Fully discrete
;
High-order
;
Conservative
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
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 advection-diffusion equation can be developed is discussed. This method is based on high-order schemes of both the advection and diffusion equations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650191106
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