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A finite difference scheme for traveling wave solutions to Burgers equation

✍ Scribed by Ronald E. Mickens

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 190 KB
Volume: 14
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199811)14:6<815::aid-num5>3.0.co;2-t

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✦ Synopsis

We construct a finite difference scheme for the ordinary differential equation describing the traveling wave solutions to the Burgers equation. This difference equation has the property that its solution can be calculated. Our procedure for determining this solution follows closely the analysis used to obtain the traveling wave solutions to the original ordinary differential equation. The finite difference scheme follows directly from application of the nonstandard rules proposed by Mickens.

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