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A first-second order splitting method for a third-order partial differential equation

✍ Scribed by Q. Duan; G. Li; F. A. Milner

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 162 KB
Volume: 14
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199801)14:1<89::aid-num5>3.0.co;2-h

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✦ Synopsis

A splitting of a third-order partial differential equation into a first-order and a second-order one is proposed as the basis for a mixed finite element method to approximate its solution. A time-continuous numerical method is described and error estimates for its solution are demonstrated. Finally, a full discretization is described based on backward Euler finite differences in time, and error estimates for the resulting approximation are established.

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