An Explicit Solution with Correctors for the Green–Naghdi Equations
✍ Scribed by Israwi, Samer; Mourad, Ayman
- Book ID
- 125338014
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2013
- Tongue
- English
- Weight
- 293 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1660-5446
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📜 SIMILAR VOLUMES
A pseudo-spectral algorithm is presented for the solution of the rotating Green-Naghdi shallow water equations in two spatial dimensions. The equations are first written in vorticity-divergence form, in order to exploit the fact that time-derivatives then appear implicitly in the divergence equation
In this paper a new explicit Numerov-type method is introduced. The construction is based on a modification of a sixth-order explicit Numerov-type method recently developed by Tsitouras [Ch. Tsitouras, Explicit Numerov type methods with reduced number of stages, Comput. Math. Appl. 45 (2003) 37-42].