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- Title
Efficient structure‐preserving schemes for good Boussinesq equation.
- Authors
Chen, Meng; Kong, Linghua; Hong, Yuqi
- Abstract
The good Boussinesq equation is endowed with symplectic conservation law and energy conservation law. In this paper, some new highly efficient structure‐preserving methods for the good Boussinesq equation are proposed by improving the standard finite difference method (FDM). The new methods only use and calculate values at the odd (or even) nodes to reduce the computational cost. We call this kind of methods odd‐even method (OEM). Numerical results show that the OEM and the standard FDM have nearly the same numerical errors under the same mesh partition. However, the OEM is much more efficient than the standard FDM, such as the consumed CPU time and occupied memory.
- Subjects
BOUSSINESQ equations; ENERGY conservation laws; CONSERVATION laws (Mathematics); FINITE difference method; NUMERICAL grid generation (Numerical analysis)
- Publication
Mathematical Methods in the Applied Sciences, 2018, Vol 41, Issue 5, p1743
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4696