The implementation of the multigrid method into the SIMPLE algorithm presents interesting aspects concerning the mass fluxes conservation on coarser grids, the k -m turbulence model and the higher-order discretization schemes. Higher-order discretization schemes for the convection terms are increasi
A scheme with a higher-order discrete invariant for the KdV equation
β Scribed by Shaohong Zhu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 199 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0893-9659
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## Soliton solution a b s t r a c t In this work, the improved tanh-coth method is used to obtain wave solutions to a Korteweg-de Vries (KdV) equation with higher-order nonlinearity, from which the standard KdV and the modified Korteweg-de Vries (mKdV) equations with variable coefficients can be d
A fully discrete methodology is investigated from which two-level, explicit, arbitrary-order, conservative numerical schemes for a model parabolic equation can be derived. To illustrate this, fully discrete three-, five-, seven-and nine-point conservative numerical schemes are presented, revealing t