%0 Journal Article
%T Implicit finite difference schemes for the magnetic induction equations
%A U. Koley
%J Mathematics
%D 2011
%I arXiv
%X We describe high order accurate and stable fully-discrete finite difference schemes for the initial-boundary value problem associated with the magnetic induction equations. These equations model the evolution of a magnetic field due to a given velocity field. The finite difference schemes are based on Summation by Parts (SBP) operators for spatial derivatives and a Simultaneous Approximation Term (SAT) technique for imposing boundary conditions. We present various numerical experiments that demonstrate both the stability as well as high order of accuracy of the schemes
%U http://arxiv.org/abs/1102.0494v1