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
A reduced-order partial differential equation model for the flow in a thermosyphon
โ Scribed by BURROUGHS, E. A.; COUTSIAS, E. A.; ROMERO, L. A.
- Book ID
- 120115838
- Publisher
- Cambridge University Press
- Year
- 2005
- Tongue
- English
- Weight
- 267 KB
- Volume
- 543
- Category
- Article
- ISSN
- 0022-1120
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๐ SIMILAR VOLUMES
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,
We continue the study of the one-dimensional model for the vorticity equation considered in [4]. The partial differential equation u,, + uuXy = u,uy + vuyrr is deduced, which appears as a generalization of the Burgers' equation, with possibly some connection also to the K dV equation. Some propertie