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Stable finite difference schemes for the magnetic induction equation with Hall effect.
- Source :
-
BIT: Numerical Mathematics . Dec2012, Vol. 52 Issue 4, p905-932. 28p. - Publication Year :
- 2012
-
Abstract
- We consider a sub-model of the Hall-MHD equations: the so-called magnetic induction equations with Hall effect. These equations are non-linear and include third-order spatial and spatio-temporal mixed derivatives. We show that the energy of the solutions is bounded and design finite difference schemes that preserve the energy bounds for the continuous problem. We design both divergence preserving schemes and schemes with bounded divergence. We present a set of numerical experiments that demonstrate the robustness of the proposed schemes. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00063835
- Volume :
- 52
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- BIT: Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 83372838
- Full Text :
- https://doi.org/10.1007/s10543-012-0383-3