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Hopscotch procedures for a fourth-order parabolic partial differential equation differential equation

✍ Scribed by A. Danaee; D.J. Evans

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 275 KB
Volume: 24
Category: Article
ISSN: 0378-4754
DOI: 10.1016/0378-4754(82)90076-3

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✦ Synopsis

In a recent paper (Mckee, 19751 the Hopscotch method was applied to solve the fourth-order parabolic (beam) equation. Several computational schemes were discussed which prove to be conditionally stable with the stability range no better than that of the usual explicit scheme.

By using two different nets in this paper, the Hopscotch algorithm is applied to the decomposed form of the equation (Richtmyer, 19591 and shown to provide a stable computational scheme.

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